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Finding the Fourth Proportional to 3,684.08, 5,526 and 910.77

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Solution

The fourth proportional to 3,684.08, 5,526 and 910.77 is: 1,366.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684.08 : 5,526 = 910.77 : x
  2. Step 2: Convert to fraction form
    3,684.08/5,526 = 910.77/x
  3. Step 3: Cross multiply
    3,684.08x = 5,526 × 910.77
  4. Step 4: Simplify right side
    3,684.08x = 5,032,915.02
  5. Step 5: Solve for x
    x = 5,032,915.02/3,684.08
  6. Step 6: Final answer
    x = 1,366.13

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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.