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Finding the Fourth Proportional to 9,710.31, 13,400.64 and 5,731.43

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Solution

The fourth proportional to 9,710.31, 13,400.64 and 5,731.43 is: 7,909.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,710.31 : 13,400.64 = 5,731.43 : x
  2. Step 2: Convert to fraction form
    9,710.31/13,400.64 = 5,731.43/x
  3. Step 3: Cross multiply
    9,710.31x = 13,400.64 × 5,731.43
  4. Step 4: Simplify right side
    9,710.31x = 76,804,763.11
  5. Step 5: Solve for x
    x = 76,804,763.11/9,710.31
  6. Step 6: Final answer
    x = 7,909.61

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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.