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Finding the Fourth Proportional to 10,974.96, 15,143.40 and 6,495.12

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Solution

The fourth proportional to 10,974.96, 15,143.40 and 6,495.12 is: 8,962.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,974.96 : 15,143.40 = 6,495.12 : x
  2. Step 2: Convert to fraction form
    10,974.96/15,143.40 = 6,495.12/x
  3. Step 3: Cross multiply
    10,974.96x = 15,143.40 × 6,495.12
  4. Step 4: Simplify right side
    10,974.96x = 98,358,200.21
  5. Step 5: Solve for x
    x = 98,358,200.21/10,974.96
  6. Step 6: Final answer
    x = 8,962.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.