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Finding the Fourth Proportional to 3,113.09, 4,669.65 and 773.15

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Solution

The fourth proportional to 3,113.09, 4,669.65 and 773.15 is: 1,159.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,113.09 : 4,669.65 = 773.15 : x
  2. Step 2: Convert to fraction form
    3,113.09/4,669.65 = 773.15/x
  3. Step 3: Cross multiply
    3,113.09x = 4,669.65 × 773.15
  4. Step 4: Simplify right side
    3,113.09x = 3,610,339.90
  5. Step 5: Solve for x
    x = 3,610,339.90/3,113.09
  6. Step 6: Final answer
    x = 1,159.73

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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.