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Finding the Fourth Proportional to 7,642.68, 11,464.02 and 4,178.04

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Solution

The fourth proportional to 7,642.68, 11,464.02 and 4,178.04 is: 6,267.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642.68 : 11,464.02 = 4,178.04 : x
  2. Step 2: Convert to fraction form
    7,642.68/11,464.02 = 4,178.04/x
  3. Step 3: Cross multiply
    7,642.68x = 11,464.02 × 4,178.04
  4. Step 4: Simplify right side
    7,642.68x = 47,897,134.12
  5. Step 5: Solve for x
    x = 47,897,134.12/7,642.68
  6. Step 6: Final answer
    x = 6,267.06

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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.