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Finding the Fourth Proportional to 7,098.30, 9,788.31 and 6,937.38

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Solution

The fourth proportional to 7,098.30, 9,788.31 and 6,937.38 is: 9,566.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,098.30 : 9,788.31 = 6,937.38 : x
  2. Step 2: Convert to fraction form
    7,098.30/9,788.31 = 6,937.38/x
  3. Step 3: Cross multiply
    7,098.30x = 9,788.31 × 6,937.38
  4. Step 4: Simplify right side
    7,098.30x = 67,905,226.03
  5. Step 5: Solve for x
    x = 67,905,226.03/7,098.30
  6. Step 6: Final answer
    x = 9,566.41

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Half scale
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Double scale
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1.5x scale

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.