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Finding the Fourth Proportional to 28,612.80, 42,928.20 and 13,822.20

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Solution

The fourth proportional to 28,612.80, 42,928.20 and 13,822.20 is: 20,737.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,612.80 : 42,928.20 = 13,822.20 : x
  2. Step 2: Convert to fraction form
    28,612.80/42,928.20 = 13,822.20/x
  3. Step 3: Cross multiply
    28,612.80x = 42,928.20 × 13,822.20
  4. Step 4: Simplify right side
    28,612.80x = 593,362,166.04
  5. Step 5: Solve for x
    x = 593,362,166.04/28,612.80
  6. Step 6: Final answer
    x = 20,737.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.