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Finding the Fourth Proportional to 2,631.74, 3,948.02 and 988.41

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Solution

The fourth proportional to 2,631.74, 3,948.02 and 988.41 is: 1,482.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,631.74 : 3,948.02 = 988.41 : x
  2. Step 2: Convert to fraction form
    2,631.74/3,948.02 = 988.41/x
  3. Step 3: Cross multiply
    2,631.74x = 3,948.02 × 988.41
  4. Step 4: Simplify right side
    2,631.74x = 3,902,259.37
  5. Step 5: Solve for x
    x = 3,902,259.37/2,631.74
  6. Step 6: Final answer
    x = 1,482.77

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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.