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Finding the Fourth Proportional to 3,586.68, 5,381.82 and 2,430

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Solution

The fourth proportional to 3,586.68, 5,381.82 and 2,430 is: 3,646.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586.68 : 5,381.82 = 2,430 : x
  2. Step 2: Convert to fraction form
    3,586.68/5,381.82 = 2,430/x
  3. Step 3: Cross multiply
    3,586.68x = 5,381.82 × 2,430
  4. Step 4: Simplify right side
    3,586.68x = 13,077,822.60
  5. Step 5: Solve for x
    x = 13,077,822.60/3,586.68
  6. Step 6: Final answer
    x = 3,646.22

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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.