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Finding the Fourth Proportional to 5,251.71, 7,831.12 and 4,894.23

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Solution

The fourth proportional to 5,251.71, 7,831.12 and 4,894.23 is: 7,298.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,251.71 : 7,831.12 = 4,894.23 : x
  2. Step 2: Convert to fraction form
    5,251.71/7,831.12 = 4,894.23/x
  3. Step 3: Cross multiply
    5,251.71x = 7,831.12 × 4,894.23
  4. Step 4: Simplify right side
    5,251.71x = 38,327,290.20
  5. Step 5: Solve for x
    x = 38,327,290.20/5,251.71
  6. Step 6: Final answer
    x = 7,298.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.