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Finding the Fourth Proportional to 3,588, 5,381.96 and 2,126.10

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Solution

The fourth proportional to 3,588, 5,381.96 and 2,126.10 is: 3,189.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,588 : 5,381.96 = 2,126.10 : x
  2. Step 2: Convert to fraction form
    3,588/5,381.96 = 2,126.10/x
  3. Step 3: Cross multiply
    3,588x = 5,381.96 × 2,126.10
  4. Step 4: Simplify right side
    3,588x = 11,442,585.16
  5. Step 5: Solve for x
    x = 11,442,585.16/3,588
  6. Step 6: Final answer
    x = 3,189.13

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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.