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Finding the Fourth Proportional to 6,689.86, 9,235.48 and 6,248.14

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Solution

The fourth proportional to 6,689.86, 9,235.48 and 6,248.14 is: 8,625.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,689.86 : 9,235.48 = 6,248.14 : x
  2. Step 2: Convert to fraction form
    6,689.86/9,235.48 = 6,248.14/x
  3. Step 3: Cross multiply
    6,689.86x = 9,235.48 × 6,248.14
  4. Step 4: Simplify right side
    6,689.86x = 57,704,572.01
  5. Step 5: Solve for x
    x = 57,704,572.01/6,689.86
  6. Step 6: Final answer
    x = 8,625.68

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Double scale
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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.