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Finding the Fourth Proportional to 22,148.50, 30,564.93 and 12,212.50

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Solution

The fourth proportional to 22,148.50, 30,564.93 and 12,212.50 is: 16,853.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,148.50 : 30,564.93 = 12,212.50 : x
  2. Step 2: Convert to fraction form
    22,148.50/30,564.93 = 12,212.50/x
  3. Step 3: Cross multiply
    22,148.50x = 30,564.93 × 12,212.50
  4. Step 4: Simplify right side
    22,148.50x = 373,274,207.63
  5. Step 5: Solve for x
    x = 373,274,207.63/22,148.50
  6. Step 6: Final answer
    x = 16,853.25

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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.