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Finding the Fourth Proportional to 31,073.64, 46,609.92 and 7,700

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Solution

The fourth proportional to 31,073.64, 46,609.92 and 7,700 is: 11,549.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,073.64 : 46,609.92 = 7,700 : x
  2. Step 2: Convert to fraction form
    31,073.64/46,609.92 = 7,700/x
  3. Step 3: Cross multiply
    31,073.64x = 46,609.92 × 7,700
  4. Step 4: Simplify right side
    31,073.64x = 358,896,384
  5. Step 5: Solve for x
    x = 358,896,384/31,073.64
  6. Step 6: Final answer
    x = 11,549.87

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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.