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Finding the Fourth Proportional to 4,741.92, 7,108.76 and 1,778.38

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Solution

The fourth proportional to 4,741.92, 7,108.76 and 1,778.38 is: 2,666.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,741.92 : 7,108.76 = 1,778.38 : x
  2. Step 2: Convert to fraction form
    4,741.92/7,108.76 = 1,778.38/x
  3. Step 3: Cross multiply
    4,741.92x = 7,108.76 × 1,778.38
  4. Step 4: Simplify right side
    4,741.92x = 12,642,063.28
  5. Step 5: Solve for x
    x = 12,642,063.28/4,741.92
  6. Step 6: Final answer
    x = 2,666.02

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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.