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Finding the Fourth Proportional to 15,842.78, 23,762.55 and 4,156

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Solution

The fourth proportional to 15,842.78, 23,762.55 and 4,156 is: 6,233.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,842.78 : 23,762.55 = 4,156 : x
  2. Step 2: Convert to fraction form
    15,842.78/23,762.55 = 4,156/x
  3. Step 3: Cross multiply
    15,842.78x = 23,762.55 × 4,156
  4. Step 4: Simplify right side
    15,842.78x = 98,757,157.80
  5. Step 5: Solve for x
    x = 98,757,157.80/15,842.78
  6. Step 6: Final answer
    x = 6,233.58

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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.