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Finding the Fourth Proportional to 3,179.16, 4,768.98 and 988.04

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Solution

The fourth proportional to 3,179.16, 4,768.98 and 988.04 is: 1,482.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,179.16 : 4,768.98 = 988.04 : x
  2. Step 2: Convert to fraction form
    3,179.16/4,768.98 = 988.04/x
  3. Step 3: Cross multiply
    3,179.16x = 4,768.98 × 988.04
  4. Step 4: Simplify right side
    3,179.16x = 4,711,943.00
  5. Step 5: Solve for x
    x = 4,711,943.00/3,179.16
  6. Step 6: Final answer
    x = 1,482.13

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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.