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Finding the Fourth Proportional to 2,632.29, 3,946.14 and 988.87

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Solution

The fourth proportional to 2,632.29, 3,946.14 and 988.87 is: 1,482.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,632.29 : 3,946.14 = 988.87 : x
  2. Step 2: Convert to fraction form
    2,632.29/3,946.14 = 988.87/x
  3. Step 3: Cross multiply
    2,632.29x = 3,946.14 × 988.87
  4. Step 4: Simplify right side
    2,632.29x = 3,902,219.46
  5. Step 5: Solve for x
    x = 3,902,219.46/2,632.29
  6. Step 6: Final answer
    x = 1,482.44

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Similar ratio
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1.5x scale

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.