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Finding the Fourth Proportional to 15,015.93, 20,730.42 and 9,987

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Solution

The fourth proportional to 15,015.93, 20,730.42 and 9,987 is: 13,787.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,015.93 : 20,730.42 = 9,987 : x
  2. Step 2: Convert to fraction form
    15,015.93/20,730.42 = 9,987/x
  3. Step 3: Cross multiply
    15,015.93x = 20,730.42 × 9,987
  4. Step 4: Simplify right side
    15,015.93x = 207,034,704.54
  5. Step 5: Solve for x
    x = 207,034,704.54/15,015.93
  6. Step 6: Final answer
    x = 13,787.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.