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Finding the Fourth Proportional to 3,565.84, 5,312.12 and 3,405.88

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Solution

The fourth proportional to 3,565.84, 5,312.12 and 3,405.88 is: 5,073.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565.84 : 5,312.12 = 3,405.88 : x
  2. Step 2: Convert to fraction form
    3,565.84/5,312.12 = 3,405.88/x
  3. Step 3: Cross multiply
    3,565.84x = 5,312.12 × 3,405.88
  4. Step 4: Simplify right side
    3,565.84x = 18,092,443.27
  5. Step 5: Solve for x
    x = 18,092,443.27/3,565.84
  6. Step 6: Final answer
    x = 5,073.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.