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Finding the Fourth Proportional to 15,764.78, 21,753.78 and 9,048.80

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Solution

The fourth proportional to 15,764.78, 21,753.78 and 9,048.80 is: 12,486.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,764.78 : 21,753.78 = 9,048.80 : x
  2. Step 2: Convert to fraction form
    15,764.78/21,753.78 = 9,048.80/x
  3. Step 3: Cross multiply
    15,764.78x = 21,753.78 × 9,048.80
  4. Step 4: Simplify right side
    15,764.78x = 196,845,604.46
  5. Step 5: Solve for x
    x = 196,845,604.46/15,764.78
  6. Step 6: Final answer
    x = 12,486.42

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1.5x scale

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.