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Finding the Fourth Proportional to 22,148, 30,564.24 and 13,764.48

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Solution

The fourth proportional to 22,148, 30,564.24 and 13,764.48 is: 18,994.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,148 : 30,564.24 = 13,764.48 : x
  2. Step 2: Convert to fraction form
    22,148/30,564.24 = 13,764.48/x
  3. Step 3: Cross multiply
    22,148x = 30,564.24 × 13,764.48
  4. Step 4: Simplify right side
    22,148x = 420,700,870.20
  5. Step 5: Solve for x
    x = 420,700,870.20/22,148
  6. Step 6: Final answer
    x = 18,994.98

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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.