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Finding the Fourth Proportional to 21,778, 32,567.32 and 16,235.12

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Solution

The fourth proportional to 21,778, 32,567.32 and 16,235.12 is: 24,278.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,778 : 32,567.32 = 16,235.12 : x
  2. Step 2: Convert to fraction form
    21,778/32,567.32 = 16,235.12/x
  3. Step 3: Cross multiply
    21,778x = 32,567.32 × 16,235.12
  4. Step 4: Simplify right side
    21,778x = 528,734,348.28
  5. Step 5: Solve for x
    x = 528,734,348.28/21,778
  6. Step 6: Final answer
    x = 24,278.37

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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.