Home / 1,257.14-1,886.31-867.72

Finding the Fourth Proportional to 1,257.14, 1,886.31 and 867.72

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Solution

The fourth proportional to 1,257.14, 1,886.31 and 867.72 is: 1,302.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.14 : 1,886.31 = 867.72 : x
  2. Step 2: Convert to fraction form
    1,257.14/1,886.31 = 867.72/x
  3. Step 3: Cross multiply
    1,257.14x = 1,886.31 × 867.72
  4. Step 4: Simplify right side
    1,257.14x = 1,636,788.91
  5. Step 5: Solve for x
    x = 1,636,788.91/1,257.14
  6. Step 6: Final answer
    x = 1,302.00

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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.