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Finding the Fourth Proportional to 7,098.40, 10,654.80 and 6,281.92

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Solution

The fourth proportional to 7,098.40, 10,654.80 and 6,281.92 is: 9,429.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,098.40 : 10,654.80 = 6,281.92 : x
  2. Step 2: Convert to fraction form
    7,098.40/10,654.80 = 6,281.92/x
  3. Step 3: Cross multiply
    7,098.40x = 10,654.80 × 6,281.92
  4. Step 4: Simplify right side
    7,098.40x = 66,932,601.22
  5. Step 5: Solve for x
    x = 66,932,601.22/7,098.40
  6. Step 6: Final answer
    x = 9,429.25

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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.