Home / 1,257.42-1,878.68-1,214.35

Finding the Fourth Proportional to 1,257.42, 1,878.68 and 1,214.35

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Solution

The fourth proportional to 1,257.42, 1,878.68 and 1,214.35 is: 1,814.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.42 : 1,878.68 = 1,214.35 : x
  2. Step 2: Convert to fraction form
    1,257.42/1,878.68 = 1,214.35/x
  3. Step 3: Cross multiply
    1,257.42x = 1,878.68 × 1,214.35
  4. Step 4: Simplify right side
    1,257.42x = 2,281,368.99
  5. Step 5: Solve for x
    x = 2,281,368.99/1,257.42
  6. Step 6: Final answer
    x = 1,814.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.