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Finding the Fourth Proportional to 1,887.64, 2,831.40 and 861.64

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Solution

The fourth proportional to 1,887.64, 2,831.40 and 861.64 is: 1,292.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,887.64 : 2,831.40 = 861.64 : x
  2. Step 2: Convert to fraction form
    1,887.64/2,831.40 = 861.64/x
  3. Step 3: Cross multiply
    1,887.64x = 2,831.40 × 861.64
  4. Step 4: Simplify right side
    1,887.64x = 2,439,647.50
  5. Step 5: Solve for x
    x = 2,439,647.50/1,887.64
  6. Step 6: Final answer
    x = 1,292.43

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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.