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Finding the Fourth Proportional to 4,751.44, 6,543.12 and 4,649.20

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Solution

The fourth proportional to 4,751.44, 6,543.12 and 4,649.20 is: 6,402.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,751.44 : 6,543.12 = 4,649.20 : x
  2. Step 2: Convert to fraction form
    4,751.44/6,543.12 = 4,649.20/x
  3. Step 3: Cross multiply
    4,751.44x = 6,543.12 × 4,649.20
  4. Step 4: Simplify right side
    4,751.44x = 30,420,273.50
  5. Step 5: Solve for x
    x = 30,420,273.50/4,751.44
  6. Step 6: Final answer
    x = 6,402.33

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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.