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Finding the Fourth Proportional to 9,967.86, 13,734.36 and 9,056.61

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Solution

The fourth proportional to 9,967.86, 13,734.36 and 9,056.61 is: 12,478.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,967.86 : 13,734.36 = 9,056.61 : x
  2. Step 2: Convert to fraction form
    9,967.86/13,734.36 = 9,056.61/x
  3. Step 3: Cross multiply
    9,967.86x = 13,734.36 × 9,056.61
  4. Step 4: Simplify right side
    9,967.86x = 124,386,742.12
  5. Step 5: Solve for x
    x = 124,386,742.12/9,967.86
  6. Step 6: Final answer
    x = 12,478.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.