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Finding the Fourth Proportional to 25,650, 38,477.16 and 7,182

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Solution

The fourth proportional to 25,650, 38,477.16 and 7,182 is: 10,773.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,650 : 38,477.16 = 7,182 : x
  2. Step 2: Convert to fraction form
    25,650/38,477.16 = 7,182/x
  3. Step 3: Cross multiply
    25,650x = 38,477.16 × 7,182
  4. Step 4: Simplify right side
    25,650x = 276,342,963.12
  5. Step 5: Solve for x
    x = 276,342,963.12/25,650
  6. Step 6: Final answer
    x = 10,773.60

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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.