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Finding the Fourth Proportional to 17,768, 26,654.52 and 6,521.90

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Solution

The fourth proportional to 17,768, 26,654.52 and 6,521.90 is: 9,783.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,768 : 26,654.52 = 6,521.90 : x
  2. Step 2: Convert to fraction form
    17,768/26,654.52 = 6,521.90/x
  3. Step 3: Cross multiply
    17,768x = 26,654.52 × 6,521.90
  4. Step 4: Simplify right side
    17,768x = 173,838,113.99
  5. Step 5: Solve for x
    x = 173,838,113.99/17,768
  6. Step 6: Final answer
    x = 9,783.77

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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.