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Finding the Fourth Proportional to 5,440, 8,160.40 and 3,988.32

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Solution

The fourth proportional to 5,440, 8,160.40 and 3,988.32 is: 5,982.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,440 : 8,160.40 = 3,988.32 : x
  2. Step 2: Convert to fraction form
    5,440/8,160.40 = 3,988.32/x
  3. Step 3: Cross multiply
    5,440x = 8,160.40 × 3,988.32
  4. Step 4: Simplify right side
    5,440x = 32,546,286.53
  5. Step 5: Solve for x
    x = 32,546,286.53/5,440
  6. Step 6: Final answer
    x = 5,982.77

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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.