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Finding the Fourth Proportional to 9,106.32, 12,564 and 5,565.90

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Solution

The fourth proportional to 9,106.32, 12,564 and 5,565.90 is: 7,679.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,106.32 : 12,564 = 5,565.90 : x
  2. Step 2: Convert to fraction form
    9,106.32/12,564 = 5,565.90/x
  3. Step 3: Cross multiply
    9,106.32x = 12,564 × 5,565.90
  4. Step 4: Simplify right side
    9,106.32x = 69,929,967.60
  5. Step 5: Solve for x
    x = 69,929,967.60/9,106.32
  6. Step 6: Final answer
    x = 7,679.28

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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.