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Finding the Fourth Proportional to 31,700.76, 47,547.54 and 8,329.02

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Solution

The fourth proportional to 31,700.76, 47,547.54 and 8,329.02 is: 12,492.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,700.76 : 47,547.54 = 8,329.02 : x
  2. Step 2: Convert to fraction form
    31,700.76/47,547.54 = 8,329.02/x
  3. Step 3: Cross multiply
    31,700.76x = 47,547.54 × 8,329.02
  4. Step 4: Simplify right side
    31,700.76x = 396,024,411.61
  5. Step 5: Solve for x
    x = 396,024,411.61/31,700.76
  6. Step 6: Final answer
    x = 12,492.58

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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.