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Finding the Fourth Proportional to 2,898.96, 4,349.88 and 1,257

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Solution

The fourth proportional to 2,898.96, 4,349.88 and 1,257 is: 1,886.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898.96 : 4,349.88 = 1,257 : x
  2. Step 2: Convert to fraction form
    2,898.96/4,349.88 = 1,257/x
  3. Step 3: Cross multiply
    2,898.96x = 4,349.88 × 1,257
  4. Step 4: Simplify right side
    2,898.96x = 5,467,799.16
  5. Step 5: Solve for x
    x = 5,467,799.16/2,898.96
  6. Step 6: Final answer
    x = 1,886.12

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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.