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Finding the Fourth Proportional to 8,124.69, 12,171.48 and 4,827.76

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Solution

The fourth proportional to 8,124.69, 12,171.48 and 4,827.76 is: 7,232.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,124.69 : 12,171.48 = 4,827.76 : x
  2. Step 2: Convert to fraction form
    8,124.69/12,171.48 = 4,827.76/x
  3. Step 3: Cross multiply
    8,124.69x = 12,171.48 × 4,827.76
  4. Step 4: Simplify right side
    8,124.69x = 58,760,984.28
  5. Step 5: Solve for x
    x = 58,760,984.28/8,124.69
  6. Step 6: Final answer
    x = 7,232.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.