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Finding the Fourth Proportional to 10,659.04, 14,708.80 and 6,680

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Solution

The fourth proportional to 10,659.04, 14,708.80 and 6,680 is: 9,217.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,659.04 : 14,708.80 = 6,680 : x
  2. Step 2: Convert to fraction form
    10,659.04/14,708.80 = 6,680/x
  3. Step 3: Cross multiply
    10,659.04x = 14,708.80 × 6,680
  4. Step 4: Simplify right side
    10,659.04x = 98,254,784
  5. Step 5: Solve for x
    x = 98,254,784/10,659.04
  6. Step 6: Final answer
    x = 9,217.98

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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.