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Finding the Fourth Proportional to 3,250, 4,876.52 and 1,605.70

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Solution

The fourth proportional to 3,250, 4,876.52 and 1,605.70 is: 2,409.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,250 : 4,876.52 = 1,605.70 : x
  2. Step 2: Convert to fraction form
    3,250/4,876.52 = 1,605.70/x
  3. Step 3: Cross multiply
    3,250x = 4,876.52 × 1,605.70
  4. Step 4: Simplify right side
    3,250x = 7,830,228.16
  5. Step 5: Solve for x
    x = 7,830,228.16/3,250
  6. Step 6: Final answer
    x = 2,409.30

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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.