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Finding the Fourth Proportional to 9,680, 14,496.62 and 5,507.36

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Solution

The fourth proportional to 9,680, 14,496.62 and 5,507.36 is: 8,247.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,680 : 14,496.62 = 5,507.36 : x
  2. Step 2: Convert to fraction form
    9,680/14,496.62 = 5,507.36/x
  3. Step 3: Cross multiply
    9,680x = 14,496.62 × 5,507.36
  4. Step 4: Simplify right side
    9,680x = 79,838,105.12
  5. Step 5: Solve for x
    x = 79,838,105.12/9,680
  6. Step 6: Final answer
    x = 8,247.74

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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.