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Finding the Fourth Proportional to 10,291.96, 15,437.87 and 2,500.77

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Solution

The fourth proportional to 10,291.96, 15,437.87 and 2,500.77 is: 3,751.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,291.96 : 15,437.87 = 2,500.77 : x
  2. Step 2: Convert to fraction form
    10,291.96/15,437.87 = 2,500.77/x
  3. Step 3: Cross multiply
    10,291.96x = 15,437.87 × 2,500.77
  4. Step 4: Simplify right side
    10,291.96x = 38,606,609.89
  5. Step 5: Solve for x
    x = 38,606,609.89/10,291.96
  6. Step 6: Final answer
    x = 3,751.14

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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.