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Finding the Fourth Proportional to 15,794.88, 21,782.88 and 10,200

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Solution

The fourth proportional to 15,794.88, 21,782.88 and 10,200 is: 14,066.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,794.88 : 21,782.88 = 10,200 : x
  2. Step 2: Convert to fraction form
    15,794.88/21,782.88 = 10,200/x
  3. Step 3: Cross multiply
    15,794.88x = 21,782.88 × 10,200
  4. Step 4: Simplify right side
    15,794.88x = 222,185,376
  5. Step 5: Solve for x
    x = 222,185,376/15,794.88
  6. Step 6: Final answer
    x = 14,066.92

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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.