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Finding the Fourth Proportional to 2,020.77, 3,029.05 and 787.68

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Solution

The fourth proportional to 2,020.77, 3,029.05 and 787.68 is: 1,180.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020.77 : 3,029.05 = 787.68 : x
  2. Step 2: Convert to fraction form
    2,020.77/3,029.05 = 787.68/x
  3. Step 3: Cross multiply
    2,020.77x = 3,029.05 × 787.68
  4. Step 4: Simplify right side
    2,020.77x = 2,385,922.10
  5. Step 5: Solve for x
    x = 2,385,922.10/2,020.77
  6. Step 6: Final answer
    x = 1,180.70

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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.