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Finding the Fourth Proportional to 2,147, 2,963.04 and 1,360.76

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Solution

The fourth proportional to 2,147, 2,963.04 and 1,360.76 is: 1,877.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147 : 2,963.04 = 1,360.76 : x
  2. Step 2: Convert to fraction form
    2,147/2,963.04 = 1,360.76/x
  3. Step 3: Cross multiply
    2,147x = 2,963.04 × 1,360.76
  4. Step 4: Simplify right side
    2,147x = 4,031,986.31
  5. Step 5: Solve for x
    x = 4,031,986.31/2,147
  6. Step 6: Final answer
    x = 1,877.96

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1.5x scale

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.