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Finding the Fourth Proportional to 15,648.76, 23,351.81 and 13,987

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Solution

The fourth proportional to 15,648.76, 23,351.81 and 13,987 is: 20,872.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,648.76 : 23,351.81 = 13,987 : x
  2. Step 2: Convert to fraction form
    15,648.76/23,351.81 = 13,987/x
  3. Step 3: Cross multiply
    15,648.76x = 23,351.81 × 13,987
  4. Step 4: Simplify right side
    15,648.76x = 326,621,766.47
  5. Step 5: Solve for x
    x = 326,621,766.47/15,648.76
  6. Step 6: Final answer
    x = 20,872.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.