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Finding the Fourth Proportional to 15,920.48, 21,969.20 and 8,750.24

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Solution

The fourth proportional to 15,920.48, 21,969.20 and 8,750.24 is: 12,074.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,920.48 : 21,969.20 = 8,750.24 : x
  2. Step 2: Convert to fraction form
    15,920.48/21,969.20 = 8,750.24/x
  3. Step 3: Cross multiply
    15,920.48x = 21,969.20 × 8,750.24
  4. Step 4: Simplify right side
    15,920.48x = 192,235,767.02
  5. Step 5: Solve for x
    x = 192,235,767.02/15,920.48
  6. Step 6: Final answer
    x = 12,074.75

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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.