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Finding the Fourth Proportional to 17,774, 26,659.12 and 9,445.16

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Solution

The fourth proportional to 17,774, 26,659.12 and 9,445.16 is: 14,166.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,774 : 26,659.12 = 9,445.16 : x
  2. Step 2: Convert to fraction form
    17,774/26,659.12 = 9,445.16/x
  3. Step 3: Cross multiply
    17,774x = 26,659.12 × 9,445.16
  4. Step 4: Simplify right side
    17,774x = 251,799,653.86
  5. Step 5: Solve for x
    x = 251,799,653.86/17,774
  6. Step 6: Final answer
    x = 14,166.74

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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.