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Finding the Fourth Proportional to 25,482.60, 38,202.12 and 9,678.78

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Solution

The fourth proportional to 25,482.60, 38,202.12 and 9,678.78 is: 14,509.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,482.60 : 38,202.12 = 9,678.78 : x
  2. Step 2: Convert to fraction form
    25,482.60/38,202.12 = 9,678.78/x
  3. Step 3: Cross multiply
    25,482.60x = 38,202.12 × 9,678.78
  4. Step 4: Simplify right side
    25,482.60x = 369,749,915.01
  5. Step 5: Solve for x
    x = 369,749,915.01/25,482.60
  6. Step 6: Final answer
    x = 14,509.90

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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.