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Finding the Fourth Proportional to 2,586.35, 3,880.17 and 831.51

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Solution

The fourth proportional to 2,586.35, 3,880.17 and 831.51 is: 1,247.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.35 : 3,880.17 = 831.51 : x
  2. Step 2: Convert to fraction form
    2,586.35/3,880.17 = 831.51/x
  3. Step 3: Cross multiply
    2,586.35x = 3,880.17 × 831.51
  4. Step 4: Simplify right side
    2,586.35x = 3,226,400.16
  5. Step 5: Solve for x
    x = 3,226,400.16/2,586.35
  6. Step 6: Final answer
    x = 1,247.47

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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.