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Finding the Fourth Proportional to 5,241.87, 7,862.87 and 1,544.20

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Solution

The fourth proportional to 5,241.87, 7,862.87 and 1,544.20 is: 2,316.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,241.87 : 7,862.87 = 1,544.20 : x
  2. Step 2: Convert to fraction form
    5,241.87/7,862.87 = 1,544.20/x
  3. Step 3: Cross multiply
    5,241.87x = 7,862.87 × 1,544.20
  4. Step 4: Simplify right side
    5,241.87x = 12,141,828.06
  5. Step 5: Solve for x
    x = 12,141,828.06/5,241.87
  6. Step 6: Final answer
    x = 2,316.32

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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.