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Finding the Fourth Proportional to 15,138.70, 22,708.05 and 8,140.30

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Solution

The fourth proportional to 15,138.70, 22,708.05 and 8,140.30 is: 12,210.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,138.70 : 22,708.05 = 8,140.30 : x
  2. Step 2: Convert to fraction form
    15,138.70/22,708.05 = 8,140.30/x
  3. Step 3: Cross multiply
    15,138.70x = 22,708.05 × 8,140.30
  4. Step 4: Simplify right side
    15,138.70x = 184,850,339.42
  5. Step 5: Solve for x
    x = 184,850,339.42/15,138.70
  6. Step 6: Final answer
    x = 12,210.45

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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.