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Finding the Fourth Proportional to 5,244.32, 7,860 and 3,507.68

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Solution

The fourth proportional to 5,244.32, 7,860 and 3,507.68 is: 5,257.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,244.32 : 7,860 = 3,507.68 : x
  2. Step 2: Convert to fraction form
    5,244.32/7,860 = 3,507.68/x
  3. Step 3: Cross multiply
    5,244.32x = 7,860 × 3,507.68
  4. Step 4: Simplify right side
    5,244.32x = 27,570,364.80
  5. Step 5: Solve for x
    x = 27,570,364.80/5,244.32
  6. Step 6: Final answer
    x = 5,257.19

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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.