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Finding the Fourth Proportional to 4,978.48, 6,869.98 and 2,990.16

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Solution

The fourth proportional to 4,978.48, 6,869.98 and 2,990.16 is: 4,126.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978.48 : 6,869.98 = 2,990.16 : x
  2. Step 2: Convert to fraction form
    4,978.48/6,869.98 = 2,990.16/x
  3. Step 3: Cross multiply
    4,978.48x = 6,869.98 × 2,990.16
  4. Step 4: Simplify right side
    4,978.48x = 20,542,339.40
  5. Step 5: Solve for x
    x = 20,542,339.40/4,978.48
  6. Step 6: Final answer
    x = 4,126.23

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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.