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Finding the Fourth Proportional to 39,652, 54,719.76 and 21,988

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Solution

The fourth proportional to 39,652, 54,719.76 and 21,988 is: 30,343.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,652 : 54,719.76 = 21,988 : x
  2. Step 2: Convert to fraction form
    39,652/54,719.76 = 21,988/x
  3. Step 3: Cross multiply
    39,652x = 54,719.76 × 21,988
  4. Step 4: Simplify right side
    39,652x = 1,203,178,082.88
  5. Step 5: Solve for x
    x = 1,203,178,082.88/39,652
  6. Step 6: Final answer
    x = 30,343.44

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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.