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Finding the Fourth Proportional to 22,328.52, 30,812.16 and 12,255

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Solution

The fourth proportional to 22,328.52, 30,812.16 and 12,255 is: 16,911.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,328.52 : 30,812.16 = 12,255 : x
  2. Step 2: Convert to fraction form
    22,328.52/30,812.16 = 12,255/x
  3. Step 3: Cross multiply
    22,328.52x = 30,812.16 × 12,255
  4. Step 4: Simplify right side
    22,328.52x = 377,603,020.80
  5. Step 5: Solve for x
    x = 377,603,020.80/22,328.52
  6. Step 6: Final answer
    x = 16,911.24

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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.