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Finding the Fourth Proportional to 3,604.77, 4,972.29 and 3,178.31

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Solution

The fourth proportional to 3,604.77, 4,972.29 and 3,178.31 is: 4,384.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,604.77 : 4,972.29 = 3,178.31 : x
  2. Step 2: Convert to fraction form
    3,604.77/4,972.29 = 3,178.31/x
  3. Step 3: Cross multiply
    3,604.77x = 4,972.29 × 3,178.31
  4. Step 4: Simplify right side
    3,604.77x = 15,803,442.25
  5. Step 5: Solve for x
    x = 15,803,442.25/3,604.77
  6. Step 6: Final answer
    x = 4,384.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.