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Finding the Fourth Proportional to 10,374.16, 15,561.45 and 2,978.86

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Solution

The fourth proportional to 10,374.16, 15,561.45 and 2,978.86 is: 4,468.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,374.16 : 15,561.45 = 2,978.86 : x
  2. Step 2: Convert to fraction form
    10,374.16/15,561.45 = 2,978.86/x
  3. Step 3: Cross multiply
    10,374.16x = 15,561.45 × 2,978.86
  4. Step 4: Simplify right side
    10,374.16x = 46,355,380.95
  5. Step 5: Solve for x
    x = 46,355,380.95/10,374.16
  6. Step 6: Final answer
    x = 4,468.35

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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.