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Finding the Fourth Proportional to 9,710.12, 14,565.95 and 3,469.88

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Solution

The fourth proportional to 9,710.12, 14,565.95 and 3,469.88 is: 5,205.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,710.12 : 14,565.95 = 3,469.88 : x
  2. Step 2: Convert to fraction form
    9,710.12/14,565.95 = 3,469.88/x
  3. Step 3: Cross multiply
    9,710.12x = 14,565.95 × 3,469.88
  4. Step 4: Simplify right side
    9,710.12x = 50,542,098.59
  5. Step 5: Solve for x
    x = 50,542,098.59/9,710.12
  6. Step 6: Final answer
    x = 5,205.10

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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.