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Finding the Fourth Proportional to 12,980.20, 19,475.10 and 12,500.20

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Solution

The fourth proportional to 12,980.20, 19,475.10 and 12,500.20 is: 18,754.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,980.20 : 19,475.10 = 12,500.20 : x
  2. Step 2: Convert to fraction form
    12,980.20/19,475.10 = 12,500.20/x
  3. Step 3: Cross multiply
    12,980.20x = 19,475.10 × 12,500.20
  4. Step 4: Simplify right side
    12,980.20x = 243,442,645.02
  5. Step 5: Solve for x
    x = 243,442,645.02/12,980.20
  6. Step 6: Final answer
    x = 18,754.92

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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.