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Finding the Fourth Proportional to 5,315.40, 7,978.14 and 2,543.58

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Solution

The fourth proportional to 5,315.40, 7,978.14 and 2,543.58 is: 3,817.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,315.40 : 7,978.14 = 2,543.58 : x
  2. Step 2: Convert to fraction form
    5,315.40/7,978.14 = 2,543.58/x
  3. Step 3: Cross multiply
    5,315.40x = 7,978.14 × 2,543.58
  4. Step 4: Simplify right side
    5,315.40x = 20,293,037.34
  5. Step 5: Solve for x
    x = 20,293,037.34/5,315.40
  6. Step 6: Final answer
    x = 3,817.78

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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.