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Finding the Fourth Proportional to 2,156.22, 2,974.05 and 2,123.82

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Solution

The fourth proportional to 2,156.22, 2,974.05 and 2,123.82 is: 2,929.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.22 : 2,974.05 = 2,123.82 : x
  2. Step 2: Convert to fraction form
    2,156.22/2,974.05 = 2,123.82/x
  3. Step 3: Cross multiply
    2,156.22x = 2,974.05 × 2,123.82
  4. Step 4: Simplify right side
    2,156.22x = 6,316,346.87
  5. Step 5: Solve for x
    x = 6,316,346.87/2,156.22
  6. Step 6: Final answer
    x = 2,929.36

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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.