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Finding the Fourth Proportional to 10,455.78, 15,685.08 and 3,060.78

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Solution

The fourth proportional to 10,455.78, 15,685.08 and 3,060.78 is: 4,591.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,455.78 : 15,685.08 = 3,060.78 : x
  2. Step 2: Convert to fraction form
    10,455.78/15,685.08 = 3,060.78/x
  3. Step 3: Cross multiply
    10,455.78x = 15,685.08 × 3,060.78
  4. Step 4: Simplify right side
    10,455.78x = 48,008,579.16
  5. Step 5: Solve for x
    x = 48,008,579.16/10,455.78
  6. Step 6: Final answer
    x = 4,591.58

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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.