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Finding the Fourth Proportional to 3,489.84, 5,235.57 and 1,024.70

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Solution

The fourth proportional to 3,489.84, 5,235.57 and 1,024.70 is: 1,537.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489.84 : 5,235.57 = 1,024.70 : x
  2. Step 2: Convert to fraction form
    3,489.84/5,235.57 = 1,024.70/x
  3. Step 3: Cross multiply
    3,489.84x = 5,235.57 × 1,024.70
  4. Step 4: Simplify right side
    3,489.84x = 5,364,888.58
  5. Step 5: Solve for x
    x = 5,364,888.58/3,489.84
  6. Step 6: Final answer
    x = 1,537.29

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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.