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Finding the Fourth Proportional to 1,212.57, 1,814.40 and 886.14

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Solution

The fourth proportional to 1,212.57, 1,814.40 and 886.14 is: 1,325.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.57 : 1,814.40 = 886.14 : x
  2. Step 2: Convert to fraction form
    1,212.57/1,814.40 = 886.14/x
  3. Step 3: Cross multiply
    1,212.57x = 1,814.40 × 886.14
  4. Step 4: Simplify right side
    1,212.57x = 1,607,812.42
  5. Step 5: Solve for x
    x = 1,607,812.42/1,212.57
  6. Step 6: Final answer
    x = 1,325.95

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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.