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Finding the Fourth Proportional to 17,721.40, 26,603.70 and 9,830.20

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Solution

The fourth proportional to 17,721.40, 26,603.70 and 9,830.20 is: 14,757.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,721.40 : 26,603.70 = 9,830.20 : x
  2. Step 2: Convert to fraction form
    17,721.40/26,603.70 = 9,830.20/x
  3. Step 3: Cross multiply
    17,721.40x = 26,603.70 × 9,830.20
  4. Step 4: Simplify right side
    17,721.40x = 261,519,691.74
  5. Step 5: Solve for x
    x = 261,519,691.74/17,721.40
  6. Step 6: Final answer
    x = 14,757.28

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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.