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Finding the Fourth Proportional to 5,420.88, 7,482.24 and 3,742.56

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Solution

The fourth proportional to 5,420.88, 7,482.24 and 3,742.56 is: 5,165.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,420.88 : 7,482.24 = 3,742.56 : x
  2. Step 2: Convert to fraction form
    5,420.88/7,482.24 = 3,742.56/x
  3. Step 3: Cross multiply
    5,420.88x = 7,482.24 × 3,742.56
  4. Step 4: Simplify right side
    5,420.88x = 28,002,732.13
  5. Step 5: Solve for x
    x = 28,002,732.13/5,420.88
  6. Step 6: Final answer
    x = 5,165.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.