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Finding the Fourth Proportional to 15,774.70, 21,761.97 and 9,058.66

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Solution

The fourth proportional to 15,774.70, 21,761.97 and 9,058.66 is: 12,496.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,774.70 : 21,761.97 = 9,058.66 : x
  2. Step 2: Convert to fraction form
    15,774.70/21,761.97 = 9,058.66/x
  3. Step 3: Cross multiply
    15,774.70x = 21,761.97 × 9,058.66
  4. Step 4: Simplify right side
    15,774.70x = 197,134,287.16
  5. Step 5: Solve for x
    x = 197,134,287.16/15,774.70
  6. Step 6: Final answer
    x = 12,496.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.