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Finding the Fourth Proportional to 6,257.60, 9,388.80 and 6,159.20

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Solution

The fourth proportional to 6,257.60, 9,388.80 and 6,159.20 is: 9,241.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,257.60 : 9,388.80 = 6,159.20 : x
  2. Step 2: Convert to fraction form
    6,257.60/9,388.80 = 6,159.20/x
  3. Step 3: Cross multiply
    6,257.60x = 9,388.80 × 6,159.20
  4. Step 4: Simplify right side
    6,257.60x = 57,827,496.96
  5. Step 5: Solve for x
    x = 57,827,496.96/6,257.60
  6. Step 6: Final answer
    x = 9,241.16

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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.