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Finding the Fourth Proportional to 4,081.68, 6,124.68 and 2,988

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Solution

The fourth proportional to 4,081.68, 6,124.68 and 2,988 is: 4,483.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,081.68 : 6,124.68 = 2,988 : x
  2. Step 2: Convert to fraction form
    4,081.68/6,124.68 = 2,988/x
  3. Step 3: Cross multiply
    4,081.68x = 6,124.68 × 2,988
  4. Step 4: Simplify right side
    4,081.68x = 18,300,543.84
  5. Step 5: Solve for x
    x = 18,300,543.84/4,081.68
  6. Step 6: Final answer
    x = 4,483.58

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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.