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Finding the Fourth Proportional to 9,565.80, 14,347.42 and 3,409

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Solution

The fourth proportional to 9,565.80, 14,347.42 and 3,409 is: 5,113.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,565.80 : 14,347.42 = 3,409 : x
  2. Step 2: Convert to fraction form
    9,565.80/14,347.42 = 3,409/x
  3. Step 3: Cross multiply
    9,565.80x = 14,347.42 × 3,409
  4. Step 4: Simplify right side
    9,565.80x = 48,910,354.78
  5. Step 5: Solve for x
    x = 48,910,354.78/9,565.80
  6. Step 6: Final answer
    x = 5,113.04

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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.