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Finding the Fourth Proportional to 3,943.68, 5,465.28 and 3,888

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Solution

The fourth proportional to 3,943.68, 5,465.28 and 3,888 is: 5,388.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,943.68 : 5,465.28 = 3,888 : x
  2. Step 2: Convert to fraction form
    3,943.68/5,465.28 = 3,888/x
  3. Step 3: Cross multiply
    3,943.68x = 5,465.28 × 3,888
  4. Step 4: Simplify right side
    3,943.68x = 21,249,008.64
  5. Step 5: Solve for x
    x = 21,249,008.64/3,943.68
  6. Step 6: Final answer
    x = 5,388.12

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.