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Finding the Fourth Proportional to 2,257, 3,113.76 and 1,417.36

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Solution

The fourth proportional to 2,257, 3,113.76 and 1,417.36 is: 1,955.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257 : 3,113.76 = 1,417.36 : x
  2. Step 2: Convert to fraction form
    2,257/3,113.76 = 1,417.36/x
  3. Step 3: Cross multiply
    2,257x = 3,113.76 × 1,417.36
  4. Step 4: Simplify right side
    2,257x = 4,413,318.87
  5. Step 5: Solve for x
    x = 4,413,318.87/2,257
  6. Step 6: Final answer
    x = 1,955.39

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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.