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Finding the Fourth Proportional to 1,886.91, 2,831.34 and 847.62

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Solution

The fourth proportional to 1,886.91, 2,831.34 and 847.62 is: 1,271.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.91 : 2,831.34 = 847.62 : x
  2. Step 2: Convert to fraction form
    1,886.91/2,831.34 = 847.62/x
  3. Step 3: Cross multiply
    1,886.91x = 2,831.34 × 847.62
  4. Step 4: Simplify right side
    1,886.91x = 2,399,900.41
  5. Step 5: Solve for x
    x = 2,399,900.41/1,886.91
  6. Step 6: Final answer
    x = 1,271.87

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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.