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Finding the Fourth Proportional to 23,540, 35,310.08 and 7,124

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Solution

The fourth proportional to 23,540, 35,310.08 and 7,124 is: 10,686.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,540 : 35,310.08 = 7,124 : x
  2. Step 2: Convert to fraction form
    23,540/35,310.08 = 7,124/x
  3. Step 3: Cross multiply
    23,540x = 35,310.08 × 7,124
  4. Step 4: Simplify right side
    23,540x = 251,549,009.92
  5. Step 5: Solve for x
    x = 251,549,009.92/23,540
  6. Step 6: Final answer
    x = 10,686.02

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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.