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Finding the Fourth Proportional to 25,362, 38,043.12 and 8,946

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Solution

The fourth proportional to 25,362, 38,043.12 and 8,946 is: 13,419.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,362 : 38,043.12 = 8,946 : x
  2. Step 2: Convert to fraction form
    25,362/38,043.12 = 8,946/x
  3. Step 3: Cross multiply
    25,362x = 38,043.12 × 8,946
  4. Step 4: Simplify right side
    25,362x = 340,333,751.52
  5. Step 5: Solve for x
    x = 340,333,751.52/25,362
  6. Step 6: Final answer
    x = 13,419.04

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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.