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Finding the Fourth Proportional to 15,148.51, 22,723.98 and 5,287.57

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Solution

The fourth proportional to 15,148.51, 22,723.98 and 5,287.57 is: 7,931.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,148.51 : 22,723.98 = 5,287.57 : x
  2. Step 2: Convert to fraction form
    15,148.51/22,723.98 = 5,287.57/x
  3. Step 3: Cross multiply
    15,148.51x = 22,723.98 × 5,287.57
  4. Step 4: Simplify right side
    15,148.51x = 120,154,634.93
  5. Step 5: Solve for x
    x = 120,154,634.93/15,148.51
  6. Step 6: Final answer
    x = 7,931.78

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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.