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Finding the Fourth Proportional to 15,755.78, 21,742.08 and 9,040.76

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Solution

The fourth proportional to 15,755.78, 21,742.08 and 9,040.76 is: 12,475.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,755.78 : 21,742.08 = 9,040.76 : x
  2. Step 2: Convert to fraction form
    15,755.78/21,742.08 = 9,040.76/x
  3. Step 3: Cross multiply
    15,755.78x = 21,742.08 × 9,040.76
  4. Step 4: Simplify right side
    15,755.78x = 196,564,927.18
  5. Step 5: Solve for x
    x = 196,564,927.18/15,755.78
  6. Step 6: Final answer
    x = 12,475.73

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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.