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Finding the Fourth Proportional to 4,543.89, 6,778.89 and 4,119.48

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Solution

The fourth proportional to 4,543.89, 6,778.89 and 4,119.48 is: 6,145.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,543.89 : 6,778.89 = 4,119.48 : x
  2. Step 2: Convert to fraction form
    4,543.89/6,778.89 = 4,119.48/x
  3. Step 3: Cross multiply
    4,543.89x = 6,778.89 × 4,119.48
  4. Step 4: Simplify right side
    4,543.89x = 27,925,501.78
  5. Step 5: Solve for x
    x = 27,925,501.78/4,543.89
  6. Step 6: Final answer
    x = 6,145.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.