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Finding the Fourth Proportional to 7,148.53, 10,724.72 and 2,987.16

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Solution

The fourth proportional to 7,148.53, 10,724.72 and 2,987.16 is: 4,481.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148.53 : 10,724.72 = 2,987.16 : x
  2. Step 2: Convert to fraction form
    7,148.53/10,724.72 = 2,987.16/x
  3. Step 3: Cross multiply
    7,148.53x = 10,724.72 × 2,987.16
  4. Step 4: Simplify right side
    7,148.53x = 32,036,454.60
  5. Step 5: Solve for x
    x = 32,036,454.60/7,148.53
  6. Step 6: Final answer
    x = 4,481.54

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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.