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Finding the Fourth Proportional to 2,257.48, 3,114.42 and 1,429

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Solution

The fourth proportional to 2,257.48, 3,114.42 and 1,429 is: 1,971.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.48 : 3,114.42 = 1,429 : x
  2. Step 2: Convert to fraction form
    2,257.48/3,114.42 = 1,429/x
  3. Step 3: Cross multiply
    2,257.48x = 3,114.42 × 1,429
  4. Step 4: Simplify right side
    2,257.48x = 4,450,506.18
  5. Step 5: Solve for x
    x = 4,450,506.18/2,257.48
  6. Step 6: Final answer
    x = 1,971.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.