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Finding the Fourth Proportional to 3,341, 5,011.77 and 1,032.50

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Solution

The fourth proportional to 3,341, 5,011.77 and 1,032.50 is: 1,548.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,341 : 5,011.77 = 1,032.50 : x
  2. Step 2: Convert to fraction form
    3,341/5,011.77 = 1,032.50/x
  3. Step 3: Cross multiply
    3,341x = 5,011.77 × 1,032.50
  4. Step 4: Simplify right side
    3,341x = 5,174,652.53
  5. Step 5: Solve for x
    x = 5,174,652.53/3,341
  6. Step 6: Final answer
    x = 1,548.83

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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.