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Finding the Fourth Proportional to 9,909.08, 13,671.60 and 5,660

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Solution

The fourth proportional to 9,909.08, 13,671.60 and 5,660 is: 7,809.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,909.08 : 13,671.60 = 5,660 : x
  2. Step 2: Convert to fraction form
    9,909.08/13,671.60 = 5,660/x
  3. Step 3: Cross multiply
    9,909.08x = 13,671.60 × 5,660
  4. Step 4: Simplify right side
    9,909.08x = 77,381,256
  5. Step 5: Solve for x
    x = 77,381,256/9,909.08
  6. Step 6: Final answer
    x = 7,809.13

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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.