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Finding the Fourth Proportional to 8,402.47, 12,602.35 and 2,557.71

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Solution

The fourth proportional to 8,402.47, 12,602.35 and 2,557.71 is: 3,836.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,402.47 : 12,602.35 = 2,557.71 : x
  2. Step 2: Convert to fraction form
    8,402.47/12,602.35 = 2,557.71/x
  3. Step 3: Cross multiply
    8,402.47x = 12,602.35 × 2,557.71
  4. Step 4: Simplify right side
    8,402.47x = 32,233,159.82
  5. Step 5: Solve for x
    x = 32,233,159.82/8,402.47
  6. Step 6: Final answer
    x = 3,836.15

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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.