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Finding the Fourth Proportional to 10,670.58, 15,974.70 and 7,116.66

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Solution

The fourth proportional to 10,670.58, 15,974.70 and 7,116.66 is: 10,654.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,670.58 : 15,974.70 = 7,116.66 : x
  2. Step 2: Convert to fraction form
    10,670.58/15,974.70 = 7,116.66/x
  3. Step 3: Cross multiply
    10,670.58x = 15,974.70 × 7,116.66
  4. Step 4: Simplify right side
    10,670.58x = 113,686,508.50
  5. Step 5: Solve for x
    x = 113,686,508.50/10,670.58
  6. Step 6: Final answer
    x = 10,654.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.