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Finding the Fourth Proportional to 3,712.98, 5,123.01 and 2,056.98

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Solution

The fourth proportional to 3,712.98, 5,123.01 and 2,056.98 is: 2,838.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,712.98 : 5,123.01 = 2,056.98 : x
  2. Step 2: Convert to fraction form
    3,712.98/5,123.01 = 2,056.98/x
  3. Step 3: Cross multiply
    3,712.98x = 5,123.01 × 2,056.98
  4. Step 4: Simplify right side
    3,712.98x = 10,537,929.11
  5. Step 5: Solve for x
    x = 10,537,929.11/3,712.98
  6. Step 6: Final answer
    x = 2,838.13

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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.