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Finding the Fourth Proportional to 3,696.32, 5,545.68 and 1,388

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Solution

The fourth proportional to 3,696.32, 5,545.68 and 1,388 is: 2,082.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696.32 : 5,545.68 = 1,388 : x
  2. Step 2: Convert to fraction form
    3,696.32/5,545.68 = 1,388/x
  3. Step 3: Cross multiply
    3,696.32x = 5,545.68 × 1,388
  4. Step 4: Simplify right side
    3,696.32x = 7,697,403.84
  5. Step 5: Solve for x
    x = 7,697,403.84/3,696.32
  6. Step 6: Final answer
    x = 2,082.45

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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.