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Finding the Fourth Proportional to 15,978.32, 22,049.07 and 8,807.84

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Solution

The fourth proportional to 15,978.32, 22,049.07 and 8,807.84 is: 12,154.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,978.32 : 22,049.07 = 8,807.84 : x
  2. Step 2: Convert to fraction form
    15,978.32/22,049.07 = 8,807.84/x
  3. Step 3: Cross multiply
    15,978.32x = 22,049.07 × 8,807.84
  4. Step 4: Simplify right side
    15,978.32x = 194,204,570.46
  5. Step 5: Solve for x
    x = 194,204,570.46/15,978.32
  6. Step 6: Final answer
    x = 12,154.26

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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.