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Finding the Fourth Proportional to 6,898.88, 10,279.80 and 6,564.15

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Solution

The fourth proportional to 6,898.88, 10,279.80 and 6,564.15 is: 9,781.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,898.88 : 10,279.80 = 6,564.15 : x
  2. Step 2: Convert to fraction form
    6,898.88/10,279.80 = 6,564.15/x
  3. Step 3: Cross multiply
    6,898.88x = 10,279.80 × 6,564.15
  4. Step 4: Simplify right side
    6,898.88x = 67,478,149.17
  5. Step 5: Solve for x
    x = 67,478,149.17/6,898.88
  6. Step 6: Final answer
    x = 9,781.04

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1.5x scale

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.