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Finding the Fourth Proportional to 2,011.31, 3,017.36 and 778.73

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Solution

The fourth proportional to 2,011.31, 3,017.36 and 778.73 is: 1,168.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.31 : 3,017.36 = 778.73 : x
  2. Step 2: Convert to fraction form
    2,011.31/3,017.36 = 778.73/x
  3. Step 3: Cross multiply
    2,011.31x = 3,017.36 × 778.73
  4. Step 4: Simplify right side
    2,011.31x = 2,349,718.24
  5. Step 5: Solve for x
    x = 2,349,718.24/2,011.31
  6. Step 6: Final answer
    x = 1,168.25

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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.