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Finding the Fourth Proportional to 10,134.40, 15,201.69 and 3,114.40

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Solution

The fourth proportional to 10,134.40, 15,201.69 and 3,114.40 is: 4,671.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,134.40 : 15,201.69 = 3,114.40 : x
  2. Step 2: Convert to fraction form
    10,134.40/15,201.69 = 3,114.40/x
  3. Step 3: Cross multiply
    10,134.40x = 15,201.69 × 3,114.40
  4. Step 4: Simplify right side
    10,134.40x = 47,344,143.34
  5. Step 5: Solve for x
    x = 47,344,143.34/10,134.40
  6. Step 6: Final answer
    x = 4,671.63

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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.