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Finding the Fourth Proportional to 15,843.13, 23,765.28 and 7,078.12

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Solution

The fourth proportional to 15,843.13, 23,765.28 and 7,078.12 is: 10,617.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,843.13 : 23,765.28 = 7,078.12 : x
  2. Step 2: Convert to fraction form
    15,843.13/23,765.28 = 7,078.12/x
  3. Step 3: Cross multiply
    15,843.13x = 23,765.28 × 7,078.12
  4. Step 4: Simplify right side
    15,843.13x = 168,213,503.67
  5. Step 5: Solve for x
    x = 168,213,503.67/15,843.13
  6. Step 6: Final answer
    x = 10,617.44

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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.