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Finding the Fourth Proportional to 17,689.66, 26,513.12 and 7,817.74

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Solution

The fourth proportional to 17,689.66, 26,513.12 and 7,817.74 is: 11,717.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,689.66 : 26,513.12 = 7,817.74 : x
  2. Step 2: Convert to fraction form
    17,689.66/26,513.12 = 7,817.74/x
  3. Step 3: Cross multiply
    17,689.66x = 26,513.12 × 7,817.74
  4. Step 4: Simplify right side
    17,689.66x = 207,272,546.18
  5. Step 5: Solve for x
    x = 207,272,546.18/17,689.66
  6. Step 6: Final answer
    x = 11,717.16

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1.5x scale

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.