Home / 11,470.17-15,829-6,689.98

Finding the Fourth Proportional to 11,470.17, 15,829 and 6,689.98

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Solution

The fourth proportional to 11,470.17, 15,829 and 6,689.98 is: 9,232.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,470.17 : 15,829 = 6,689.98 : x
  2. Step 2: Convert to fraction form
    11,470.17/15,829 = 6,689.98/x
  3. Step 3: Cross multiply
    11,470.17x = 15,829 × 6,689.98
  4. Step 4: Simplify right side
    11,470.17x = 105,895,693.42
  5. Step 5: Solve for x
    x = 105,895,693.42/11,470.17
  6. Step 6: Final answer
    x = 9,232.27

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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.