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Finding the Fourth Proportional to 5,100.38, 7,643.38 and 4,055.74

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Solution

The fourth proportional to 5,100.38, 7,643.38 and 4,055.74 is: 6,077.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,100.38 : 7,643.38 = 4,055.74 : x
  2. Step 2: Convert to fraction form
    5,100.38/7,643.38 = 4,055.74/x
  3. Step 3: Cross multiply
    5,100.38x = 7,643.38 × 4,055.74
  4. Step 4: Simplify right side
    5,100.38x = 30,999,591.25
  5. Step 5: Solve for x
    x = 30,999,591.25/5,100.38
  6. Step 6: Final answer
    x = 6,077.90

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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.