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Finding the Fourth Proportional to 10,132.96, 15,159.48 and 7,674.88

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Solution

The fourth proportional to 10,132.96, 15,159.48 and 7,674.88 is: 11,482.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,132.96 : 15,159.48 = 7,674.88 : x
  2. Step 2: Convert to fraction form
    10,132.96/15,159.48 = 7,674.88/x
  3. Step 3: Cross multiply
    10,132.96x = 15,159.48 × 7,674.88
  4. Step 4: Simplify right side
    10,132.96x = 116,347,189.86
  5. Step 5: Solve for x
    x = 116,347,189.86/10,132.96
  6. Step 6: Final answer
    x = 11,482.05

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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.