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Finding the Fourth Proportional to 15,143.76, 20,897.90 and 8,429.16

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Solution

The fourth proportional to 15,143.76, 20,897.90 and 8,429.16 is: 11,631.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,143.76 : 20,897.90 = 8,429.16 : x
  2. Step 2: Convert to fraction form
    15,143.76/20,897.90 = 8,429.16/x
  3. Step 3: Cross multiply
    15,143.76x = 20,897.90 × 8,429.16
  4. Step 4: Simplify right side
    15,143.76x = 176,151,810.59
  5. Step 5: Solve for x
    x = 176,151,810.59/15,143.76
  6. Step 6: Final answer
    x = 11,631.97

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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.