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Finding the Fourth Proportional to 8,142, 11,232.20 and 4,783.76

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Solution

The fourth proportional to 8,142, 11,232.20 and 4,783.76 is: 6,599.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142 : 11,232.20 = 4,783.76 : x
  2. Step 2: Convert to fraction form
    8,142/11,232.20 = 4,783.76/x
  3. Step 3: Cross multiply
    8,142x = 11,232.20 × 4,783.76
  4. Step 4: Simplify right side
    8,142x = 53,732,149.07
  5. Step 5: Solve for x
    x = 53,732,149.07/8,142
  6. Step 6: Final answer
    x = 6,599.38

Related Problems

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Half scale
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Double scale
Find fourth proportional to 8,143, 11,233.58 and 4,784.76
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.