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Finding the Fourth Proportional to 17,655.16, 26,489.58 and 7,787.47

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Solution

The fourth proportional to 17,655.16, 26,489.58 and 7,787.47 is: 11,684.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,655.16 : 26,489.58 = 7,787.47 : x
  2. Step 2: Convert to fraction form
    17,655.16/26,489.58 = 7,787.47/x
  3. Step 3: Cross multiply
    17,655.16x = 26,489.58 × 7,787.47
  4. Step 4: Simplify right side
    17,655.16x = 206,286,809.56
  5. Step 5: Solve for x
    x = 206,286,809.56/17,655.16
  6. Step 6: Final answer
    x = 11,684.22

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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.