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Finding the Fourth Proportional to 25,448, 38,172.72 and 6,980

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Solution

The fourth proportional to 25,448, 38,172.72 and 6,980 is: 10,470.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,448 : 38,172.72 = 6,980 : x
  2. Step 2: Convert to fraction form
    25,448/38,172.72 = 6,980/x
  3. Step 3: Cross multiply
    25,448x = 38,172.72 × 6,980
  4. Step 4: Simplify right side
    25,448x = 266,445,585.60
  5. Step 5: Solve for x
    x = 266,445,585.60/25,448
  6. Step 6: Final answer
    x = 10,470.20

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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.