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Finding the Fourth Proportional to 2,117.84, 2,922.72 and 1,278.68

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Solution

The fourth proportional to 2,117.84, 2,922.72 and 1,278.68 is: 1,764.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.84 : 2,922.72 = 1,278.68 : x
  2. Step 2: Convert to fraction form
    2,117.84/2,922.72 = 1,278.68/x
  3. Step 3: Cross multiply
    2,117.84x = 2,922.72 × 1,278.68
  4. Step 4: Simplify right side
    2,117.84x = 3,737,223.61
  5. Step 5: Solve for x
    x = 3,737,223.61/2,117.84
  6. Step 6: Final answer
    x = 1,764.64

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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.