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Finding the Fourth Proportional to 15,692, 21,656.88 and 9,068

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Solution

The fourth proportional to 15,692, 21,656.88 and 9,068 is: 12,514.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,692 : 21,656.88 = 9,068 : x
  2. Step 2: Convert to fraction form
    15,692/21,656.88 = 9,068/x
  3. Step 3: Cross multiply
    15,692x = 21,656.88 × 9,068
  4. Step 4: Simplify right side
    15,692x = 196,384,587.84
  5. Step 5: Solve for x
    x = 196,384,587.84/15,692
  6. Step 6: Final answer
    x = 12,514.95

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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.