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Finding the Fourth Proportional to 2,991.76, 4,123.01 and 2,151

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Solution

The fourth proportional to 2,991.76, 4,123.01 and 2,151 is: 2,964.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,991.76 : 4,123.01 = 2,151 : x
  2. Step 2: Convert to fraction form
    2,991.76/4,123.01 = 2,151/x
  3. Step 3: Cross multiply
    2,991.76x = 4,123.01 × 2,151
  4. Step 4: Simplify right side
    2,991.76x = 8,868,583.76
  5. Step 5: Solve for x
    x = 8,868,583.76/2,991.76
  6. Step 6: Final answer
    x = 2,964.34

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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.