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Finding the Fourth Proportional to 9,287.40, 13,931.10 and 3,442.80

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Solution

The fourth proportional to 9,287.40, 13,931.10 and 3,442.80 is: 5,164.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,287.40 : 13,931.10 = 3,442.80 : x
  2. Step 2: Convert to fraction form
    9,287.40/13,931.10 = 3,442.80/x
  3. Step 3: Cross multiply
    9,287.40x = 13,931.10 × 3,442.80
  4. Step 4: Simplify right side
    9,287.40x = 47,961,991.08
  5. Step 5: Solve for x
    x = 47,961,991.08/9,287.40
  6. Step 6: Final answer
    x = 5,164.20

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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.