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Finding the Fourth Proportional to 5,115.84, 7,673.85 and 1,831.29

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Solution

The fourth proportional to 5,115.84, 7,673.85 and 1,831.29 is: 2,746.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,115.84 : 7,673.85 = 1,831.29 : x
  2. Step 2: Convert to fraction form
    5,115.84/7,673.85 = 1,831.29/x
  3. Step 3: Cross multiply
    5,115.84x = 7,673.85 × 1,831.29
  4. Step 4: Simplify right side
    5,115.84x = 14,053,044.77
  5. Step 5: Solve for x
    x = 14,053,044.77/5,115.84
  6. Step 6: Final answer
    x = 2,746.97

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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.