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Finding the Fourth Proportional to 5,321.19, 7,978.35 and 2,547.80

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Solution

The fourth proportional to 5,321.19, 7,978.35 and 2,547.80 is: 3,820.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,321.19 : 7,978.35 = 2,547.80 : x
  2. Step 2: Convert to fraction form
    5,321.19/7,978.35 = 2,547.80/x
  3. Step 3: Cross multiply
    5,321.19x = 7,978.35 × 2,547.80
  4. Step 4: Simplify right side
    5,321.19x = 20,327,200.24
  5. Step 5: Solve for x
    x = 20,327,200.24/5,321.19
  6. Step 6: Final answer
    x = 3,820.05

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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.