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Finding the Fourth Proportional to 2,079.93, 3,120.47 and 909.72

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Solution

The fourth proportional to 2,079.93, 3,120.47 and 909.72 is: 1,364.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079.93 : 3,120.47 = 909.72 : x
  2. Step 2: Convert to fraction form
    2,079.93/3,120.47 = 909.72/x
  3. Step 3: Cross multiply
    2,079.93x = 3,120.47 × 909.72
  4. Step 4: Simplify right side
    2,079.93x = 2,838,753.97
  5. Step 5: Solve for x
    x = 2,838,753.97/2,079.93
  6. Step 6: Final answer
    x = 1,364.83

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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.