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Finding the Fourth Proportional to 8,783.68, 12,114.48 and 7,461.76

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Solution

The fourth proportional to 8,783.68, 12,114.48 and 7,461.76 is: 10,291.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,783.68 : 12,114.48 = 7,461.76 : x
  2. Step 2: Convert to fraction form
    8,783.68/12,114.48 = 7,461.76/x
  3. Step 3: Cross multiply
    8,783.68x = 12,114.48 × 7,461.76
  4. Step 4: Simplify right side
    8,783.68x = 90,395,342.28
  5. Step 5: Solve for x
    x = 90,395,342.28/8,783.68
  6. Step 6: Final answer
    x = 10,291.28

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Double scale
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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.