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Finding the Fourth Proportional to 15,920.18, 23,867.84 and 7,148.96

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Solution

The fourth proportional to 15,920.18, 23,867.84 and 7,148.96 is: 10,717.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,920.18 : 23,867.84 = 7,148.96 : x
  2. Step 2: Convert to fraction form
    15,920.18/23,867.84 = 7,148.96/x
  3. Step 3: Cross multiply
    15,920.18x = 23,867.84 × 7,148.96
  4. Step 4: Simplify right side
    15,920.18x = 170,630,233.45
  5. Step 5: Solve for x
    x = 170,630,233.45/15,920.18
  6. Step 6: Final answer
    x = 10,717.86

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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.