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Finding the Fourth Proportional to 6,979.64, 10,491.42 and 6,454.76

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Solution

The fourth proportional to 6,979.64, 10,491.42 and 6,454.76 is: 9,702.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,979.64 : 10,491.42 = 6,454.76 : x
  2. Step 2: Convert to fraction form
    6,979.64/10,491.42 = 6,454.76/x
  3. Step 3: Cross multiply
    6,979.64x = 10,491.42 × 6,454.76
  4. Step 4: Simplify right side
    6,979.64x = 67,719,598.16
  5. Step 5: Solve for x
    x = 67,719,598.16/6,979.64
  6. Step 6: Final answer
    x = 9,702.45

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1.5x scale

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.