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Finding the Fourth Proportional to 5,242, 7,862.44 and 1,544.24

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Solution

The fourth proportional to 5,242, 7,862.44 and 1,544.24 is: 2,316.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,242 : 7,862.44 = 1,544.24 : x
  2. Step 2: Convert to fraction form
    5,242/7,862.44 = 1,544.24/x
  3. Step 3: Cross multiply
    5,242x = 7,862.44 × 1,544.24
  4. Step 4: Simplify right side
    5,242x = 12,141,494.35
  5. Step 5: Solve for x
    x = 12,141,494.35/5,242
  6. Step 6: Final answer
    x = 2,316.20

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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.