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Finding the Fourth Proportional to 4,242.56, 6,354.64 and 3,503.84

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Solution

The fourth proportional to 4,242.56, 6,354.64 and 3,503.84 is: 5,248.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,242.56 : 6,354.64 = 3,503.84 : x
  2. Step 2: Convert to fraction form
    4,242.56/6,354.64 = 3,503.84/x
  3. Step 3: Cross multiply
    4,242.56x = 6,354.64 × 3,503.84
  4. Step 4: Simplify right side
    4,242.56x = 22,265,641.82
  5. Step 5: Solve for x
    x = 22,265,641.82/4,242.56
  6. Step 6: Final answer
    x = 5,248.16

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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.