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Finding the Fourth Proportional to 2,347, 3,238.92 and 1,415.56

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Solution

The fourth proportional to 2,347, 3,238.92 and 1,415.56 is: 1,953.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347 : 3,238.92 = 1,415.56 : x
  2. Step 2: Convert to fraction form
    2,347/3,238.92 = 1,415.56/x
  3. Step 3: Cross multiply
    2,347x = 3,238.92 × 1,415.56
  4. Step 4: Simplify right side
    2,347x = 4,584,885.60
  5. Step 5: Solve for x
    x = 4,584,885.60/2,347
  6. Step 6: Final answer
    x = 1,953.51

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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.