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Finding the Fourth Proportional to 15,612.48, 23,418.48 and 7,821.12

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Solution

The fourth proportional to 15,612.48, 23,418.48 and 7,821.12 is: 11,731.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,612.48 : 23,418.48 = 7,821.12 : x
  2. Step 2: Convert to fraction form
    15,612.48/23,418.48 = 7,821.12/x
  3. Step 3: Cross multiply
    15,612.48x = 23,418.48 × 7,821.12
  4. Step 4: Simplify right side
    15,612.48x = 183,158,742.30
  5. Step 5: Solve for x
    x = 183,158,742.30/15,612.48
  6. Step 6: Final answer
    x = 11,731.56

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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.