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Finding the Fourth Proportional to 3,493.52, 5,240.80 and 1,153.77

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Solution

The fourth proportional to 3,493.52, 5,240.80 and 1,153.77 is: 1,730.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493.52 : 5,240.80 = 1,153.77 : x
  2. Step 2: Convert to fraction form
    3,493.52/5,240.80 = 1,153.77/x
  3. Step 3: Cross multiply
    3,493.52x = 5,240.80 × 1,153.77
  4. Step 4: Simplify right side
    3,493.52x = 6,046,677.82
  5. Step 5: Solve for x
    x = 6,046,677.82/3,493.52
  6. Step 6: Final answer
    x = 1,730.83

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1.5x scale

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.