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Finding the Fourth Proportional to 1,778.42, 2,454.32 and 981.74

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Solution

The fourth proportional to 1,778.42, 2,454.32 and 981.74 is: 1,354.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,778.42 : 2,454.32 = 981.74 : x
  2. Step 2: Convert to fraction form
    1,778.42/2,454.32 = 981.74/x
  3. Step 3: Cross multiply
    1,778.42x = 2,454.32 × 981.74
  4. Step 4: Simplify right side
    1,778.42x = 2,409,504.12
  5. Step 5: Solve for x
    x = 2,409,504.12/1,778.42
  6. Step 6: Final answer
    x = 1,354.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.