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Finding the Fourth Proportional to 31,130.28, 46,702.80 and 8,943.14

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Solution

The fourth proportional to 31,130.28, 46,702.80 and 8,943.14 is: 13,416.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,130.28 : 46,702.80 = 8,943.14 : x
  2. Step 2: Convert to fraction form
    31,130.28/46,702.80 = 8,943.14/x
  3. Step 3: Cross multiply
    31,130.28x = 46,702.80 × 8,943.14
  4. Step 4: Simplify right side
    31,130.28x = 417,669,678.79
  5. Step 5: Solve for x
    x = 417,669,678.79/31,130.28
  6. Step 6: Final answer
    x = 13,416.83

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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.