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Finding the Fourth Proportional to 2,625.92, 3,938.86 and 777.04

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Solution

The fourth proportional to 2,625.92, 3,938.86 and 777.04 is: 1,165.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,625.92 : 3,938.86 = 777.04 : x
  2. Step 2: Convert to fraction form
    2,625.92/3,938.86 = 777.04/x
  3. Step 3: Cross multiply
    2,625.92x = 3,938.86 × 777.04
  4. Step 4: Simplify right side
    2,625.92x = 3,060,657.67
  5. Step 5: Solve for x
    x = 3,060,657.67/2,625.92
  6. Step 6: Final answer
    x = 1,165.56

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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.