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Finding the Fourth Proportional to 31,501.71, 47,253.45 and 8,128.14

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Solution

The fourth proportional to 31,501.71, 47,253.45 and 8,128.14 is: 12,192.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,501.71 : 47,253.45 = 8,128.14 : x
  2. Step 2: Convert to fraction form
    31,501.71/47,253.45 = 8,128.14/x
  3. Step 3: Cross multiply
    31,501.71x = 47,253.45 × 8,128.14
  4. Step 4: Simplify right side
    31,501.71x = 384,082,657.08
  5. Step 5: Solve for x
    x = 384,082,657.08/31,501.71
  6. Step 6: Final answer
    x = 12,192.44

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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.