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Finding the Fourth Proportional to 39,216, 54,118.08 and 21,552

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Solution

The fourth proportional to 39,216, 54,118.08 and 21,552 is: 29,741.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,216 : 54,118.08 = 21,552 : x
  2. Step 2: Convert to fraction form
    39,216/54,118.08 = 21,552/x
  3. Step 3: Cross multiply
    39,216x = 54,118.08 × 21,552
  4. Step 4: Simplify right side
    39,216x = 1,166,352,860.16
  5. Step 5: Solve for x
    x = 1,166,352,860.16/39,216
  6. Step 6: Final answer
    x = 29,741.76

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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.