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Finding the Fourth Proportional to 12,343.80, 18,515.62 and 4,948.16

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Solution

The fourth proportional to 12,343.80, 18,515.62 and 4,948.16 is: 7,422.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,343.80 : 18,515.62 = 4,948.16 : x
  2. Step 2: Convert to fraction form
    12,343.80/18,515.62 = 4,948.16/x
  3. Step 3: Cross multiply
    12,343.80x = 18,515.62 × 4,948.16
  4. Step 4: Simplify right side
    12,343.80x = 91,618,145.31
  5. Step 5: Solve for x
    x = 91,618,145.31/12,343.80
  6. Step 6: Final answer
    x = 7,422.20

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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.