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Finding the Fourth Proportional to 2,717.40, 3,750.17 and 1,655.00

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Solution

The fourth proportional to 2,717.40, 3,750.17 and 1,655.00 is: 2,283.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,717.40 : 3,750.17 = 1,655.00 : x
  2. Step 2: Convert to fraction form
    2,717.40/3,750.17 = 1,655.00/x
  3. Step 3: Cross multiply
    2,717.40x = 3,750.17 × 1,655.00
  4. Step 4: Simplify right side
    2,717.40x = 6,206,504.32
  5. Step 5: Solve for x
    x = 6,206,504.32/2,717.40
  6. Step 6: Final answer
    x = 2,283.99

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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.