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Finding the Fourth Proportional to 10,127, 15,193.20 and 3,201.50

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Solution

The fourth proportional to 10,127, 15,193.20 and 3,201.50 is: 4,803.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,127 : 15,193.20 = 3,201.50 : x
  2. Step 2: Convert to fraction form
    10,127/15,193.20 = 3,201.50/x
  3. Step 3: Cross multiply
    10,127x = 15,193.20 × 3,201.50
  4. Step 4: Simplify right side
    10,127x = 48,641,029.80
  5. Step 5: Solve for x
    x = 48,641,029.80/10,127
  6. Step 6: Final answer
    x = 4,803.10

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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.