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Finding the Fourth Proportional to 2,897, 3,998.10 and 1,655.24

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Solution

The fourth proportional to 2,897, 3,998.10 and 1,655.24 is: 2,284.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897 : 3,998.10 = 1,655.24 : x
  2. Step 2: Convert to fraction form
    2,897/3,998.10 = 1,655.24/x
  3. Step 3: Cross multiply
    2,897x = 3,998.10 × 1,655.24
  4. Step 4: Simplify right side
    2,897x = 6,617,815.04
  5. Step 5: Solve for x
    x = 6,617,815.04/2,897
  6. Step 6: Final answer
    x = 2,284.37

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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.