Home / 1,412.22-2,117.90-864.66

Finding the Fourth Proportional to 1,412.22, 2,117.90 and 864.66

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Solution

The fourth proportional to 1,412.22, 2,117.90 and 864.66 is: 1,296.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.22 : 2,117.90 = 864.66 : x
  2. Step 2: Convert to fraction form
    1,412.22/2,117.90 = 864.66/x
  3. Step 3: Cross multiply
    1,412.22x = 2,117.90 × 864.66
  4. Step 4: Simplify right side
    1,412.22x = 1,831,263.41
  5. Step 5: Solve for x
    x = 1,831,263.41/1,412.22
  6. Step 6: Final answer
    x = 1,296.73

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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.