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Finding the Fourth Proportional to 22,398.48, 30,911.70 and 12,328.80

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Solution

The fourth proportional to 22,398.48, 30,911.70 and 12,328.80 is: 17,014.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,398.48 : 30,911.70 = 12,328.80 : x
  2. Step 2: Convert to fraction form
    22,398.48/30,911.70 = 12,328.80/x
  3. Step 3: Cross multiply
    22,398.48x = 30,911.70 × 12,328.80
  4. Step 4: Simplify right side
    22,398.48x = 381,104,166.96
  5. Step 5: Solve for x
    x = 381,104,166.96/22,398.48
  6. Step 6: Final answer
    x = 17,014.73

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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.