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Finding the Fourth Proportional to 2,157.84, 2,972.04 and 1,714.97

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Solution

The fourth proportional to 2,157.84, 2,972.04 and 1,714.97 is: 2,362.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.84 : 2,972.04 = 1,714.97 : x
  2. Step 2: Convert to fraction form
    2,157.84/2,972.04 = 1,714.97/x
  3. Step 3: Cross multiply
    2,157.84x = 2,972.04 × 1,714.97
  4. Step 4: Simplify right side
    2,157.84x = 5,096,970.08
  5. Step 5: Solve for x
    x = 5,096,970.08/2,157.84
  6. Step 6: Final answer
    x = 2,362.07

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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.