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Finding the Fourth Proportional to 3,487.39, 5,230.67 and 988.63

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Solution

The fourth proportional to 3,487.39, 5,230.67 and 988.63 is: 1,482.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,487.39 : 5,230.67 = 988.63 : x
  2. Step 2: Convert to fraction form
    3,487.39/5,230.67 = 988.63/x
  3. Step 3: Cross multiply
    3,487.39x = 5,230.67 × 988.63
  4. Step 4: Simplify right side
    3,487.39x = 5,171,179.26
  5. Step 5: Solve for x
    x = 5,171,179.26/3,487.39
  6. Step 6: Final answer
    x = 1,482.82

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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.