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Finding the Fourth Proportional to 15,765.16, 21,757.86 and 9,141.16

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Solution

The fourth proportional to 15,765.16, 21,757.86 and 9,141.16 is: 12,615.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,765.16 : 21,757.86 = 9,141.16 : x
  2. Step 2: Convert to fraction form
    15,765.16/21,757.86 = 9,141.16/x
  3. Step 3: Cross multiply
    15,765.16x = 21,757.86 × 9,141.16
  4. Step 4: Simplify right side
    15,765.16x = 198,892,079.52
  5. Step 5: Solve for x
    x = 198,892,079.52/15,765.16
  6. Step 6: Final answer
    x = 12,615.93

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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.