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Finding the Fourth Proportional to 10,099.59, 15,125.89 and 9,749.19

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Solution

The fourth proportional to 10,099.59, 15,125.89 and 9,749.19 is: 14,601.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,099.59 : 15,125.89 = 9,749.19 : x
  2. Step 2: Convert to fraction form
    10,099.59/15,125.89 = 9,749.19/x
  3. Step 3: Cross multiply
    10,099.59x = 15,125.89 × 9,749.19
  4. Step 4: Simplify right side
    10,099.59x = 147,465,226.16
  5. Step 5: Solve for x
    x = 147,465,226.16/10,099.59
  6. Step 6: Final answer
    x = 14,601.12

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1.5x scale

Why These Related Problems?

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