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Finding the Fourth Proportional to 2,114.70, 3,172.17 and 654.06

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Solution

The fourth proportional to 2,114.70, 3,172.17 and 654.06 is: 981.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.70 : 3,172.17 = 654.06 : x
  2. Step 2: Convert to fraction form
    2,114.70/3,172.17 = 654.06/x
  3. Step 3: Cross multiply
    2,114.70x = 3,172.17 × 654.06
  4. Step 4: Simplify right side
    2,114.70x = 2,074,789.51
  5. Step 5: Solve for x
    x = 2,074,789.51/2,114.70
  6. Step 6: Final answer
    x = 981.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.