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Finding the Fourth Proportional to 12,113.80, 18,159.90 and 7,178.20

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Solution

The fourth proportional to 12,113.80, 18,159.90 and 7,178.20 is: 10,760.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,113.80 : 18,159.90 = 7,178.20 : x
  2. Step 2: Convert to fraction form
    12,113.80/18,159.90 = 7,178.20/x
  3. Step 3: Cross multiply
    12,113.80x = 18,159.90 × 7,178.20
  4. Step 4: Simplify right side
    12,113.80x = 130,355,394.18
  5. Step 5: Solve for x
    x = 130,355,394.18/12,113.80
  6. Step 6: Final answer
    x = 10,760.90

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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.