Home / 1,412.30-2,114.40-865.55

Finding the Fourth Proportional to 1,412.30, 2,114.40 and 865.55

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Solution

The fourth proportional to 1,412.30, 2,114.40 and 865.55 is: 1,295.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.30 : 2,114.40 = 865.55 : x
  2. Step 2: Convert to fraction form
    1,412.30/2,114.40 = 865.55/x
  3. Step 3: Cross multiply
    1,412.30x = 2,114.40 × 865.55
  4. Step 4: Simplify right side
    1,412.30x = 1,830,118.92
  5. Step 5: Solve for x
    x = 1,830,118.92/1,412.30
  6. Step 6: Final answer
    x = 1,295.84

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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.