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Finding the Fourth Proportional to 5,053.40, 6,978.00 and 3,168.15

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Solution

The fourth proportional to 5,053.40, 6,978.00 and 3,168.15 is: 4,374.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,053.40 : 6,978.00 = 3,168.15 : x
  2. Step 2: Convert to fraction form
    5,053.40/6,978.00 = 3,168.15/x
  3. Step 3: Cross multiply
    5,053.40x = 6,978.00 × 3,168.15
  4. Step 4: Simplify right side
    5,053.40x = 22,107,318.59
  5. Step 5: Solve for x
    x = 22,107,318.59/5,053.40
  6. Step 6: Final answer
    x = 4,374.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.