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Finding the Fourth Proportional to 7,451, 11,178.10 and 2,520.40

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Solution

The fourth proportional to 7,451, 11,178.10 and 2,520.40 is: 3,781.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,451 : 11,178.10 = 2,520.40 : x
  2. Step 2: Convert to fraction form
    7,451/11,178.10 = 2,520.40/x
  3. Step 3: Cross multiply
    7,451x = 11,178.10 × 2,520.40
  4. Step 4: Simplify right side
    7,451x = 28,173,283.24
  5. Step 5: Solve for x
    x = 28,173,283.24/7,451
  6. Step 6: Final answer
    x = 3,781.14

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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.