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Finding the Fourth Proportional to 5,407, 7,454.90 and 4,512.03

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Solution

The fourth proportional to 5,407, 7,454.90 and 4,512.03 is: 6,220.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407 : 7,454.90 = 4,512.03 : x
  2. Step 2: Convert to fraction form
    5,407/7,454.90 = 4,512.03/x
  3. Step 3: Cross multiply
    5,407x = 7,454.90 × 4,512.03
  4. Step 4: Simplify right side
    5,407x = 33,636,711.97
  5. Step 5: Solve for x
    x = 33,636,711.97/5,407
  6. Step 6: Final answer
    x = 6,220.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.