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Finding the Fourth Proportional to 2,988.98, 4,483.46 and 797.88

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Solution

The fourth proportional to 2,988.98, 4,483.46 and 797.88 is: 1,196.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,988.98 : 4,483.46 = 797.88 : x
  2. Step 2: Convert to fraction form
    2,988.98/4,483.46 = 797.88/x
  3. Step 3: Cross multiply
    2,988.98x = 4,483.46 × 797.88
  4. Step 4: Simplify right side
    2,988.98x = 3,577,263.06
  5. Step 5: Solve for x
    x = 3,577,263.06/2,988.98
  6. Step 6: Final answer
    x = 1,196.82

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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.