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Finding the Fourth Proportional to 22,148.48, 30,564.80 and 12,212.48

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Solution

The fourth proportional to 22,148.48, 30,564.80 and 12,212.48 is: 16,853.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,148.48 : 30,564.80 = 12,212.48 : x
  2. Step 2: Convert to fraction form
    22,148.48/30,564.80 = 12,212.48/x
  3. Step 3: Cross multiply
    22,148.48x = 30,564.80 × 12,212.48
  4. Step 4: Simplify right side
    22,148.48x = 373,272,008.70
  5. Step 5: Solve for x
    x = 373,272,008.70/22,148.48
  6. Step 6: Final answer
    x = 16,853.17

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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.