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Finding the Fourth Proportional to 2,991.72, 4,488.29 and 1,897.01

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Solution

The fourth proportional to 2,991.72, 4,488.29 and 1,897.01 is: 2,845.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,991.72 : 4,488.29 = 1,897.01 : x
  2. Step 2: Convert to fraction form
    2,991.72/4,488.29 = 1,897.01/x
  3. Step 3: Cross multiply
    2,991.72x = 4,488.29 × 1,897.01
  4. Step 4: Simplify right side
    2,991.72x = 8,514,313.31
  5. Step 5: Solve for x
    x = 8,514,313.31/2,991.72
  6. Step 6: Final answer
    x = 2,845.96

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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.