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Finding the Fourth Proportional to 5,275.14, 7,907.72 and 1,987.53

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Solution

The fourth proportional to 5,275.14, 7,907.72 and 1,987.53 is: 2,979.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,275.14 : 7,907.72 = 1,987.53 : x
  2. Step 2: Convert to fraction form
    5,275.14/7,907.72 = 1,987.53/x
  3. Step 3: Cross multiply
    5,275.14x = 7,907.72 × 1,987.53
  4. Step 4: Simplify right side
    5,275.14x = 15,716,820.79
  5. Step 5: Solve for x
    x = 15,716,820.79/5,275.14
  6. Step 6: Final answer
    x = 2,979.41

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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.