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Finding the Fourth Proportional to 15,920.80, 23,846.10 and 9,978.34

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Solution

The fourth proportional to 15,920.80, 23,846.10 and 9,978.34 is: 14,945.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,920.80 : 23,846.10 = 9,978.34 : x
  2. Step 2: Convert to fraction form
    15,920.80/23,846.10 = 9,978.34/x
  3. Step 3: Cross multiply
    15,920.80x = 23,846.10 × 9,978.34
  4. Step 4: Simplify right side
    15,920.80x = 237,944,493.47
  5. Step 5: Solve for x
    x = 237,944,493.47/15,920.80
  6. Step 6: Final answer
    x = 14,945.51

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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.