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Finding the Fourth Proportional to 12,283.80, 18,428.40 and 3,962.40

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Solution

The fourth proportional to 12,283.80, 18,428.40 and 3,962.40 is: 5,944.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,283.80 : 18,428.40 = 3,962.40 : x
  2. Step 2: Convert to fraction form
    12,283.80/18,428.40 = 3,962.40/x
  3. Step 3: Cross multiply
    12,283.80x = 18,428.40 × 3,962.40
  4. Step 4: Simplify right side
    12,283.80x = 73,020,692.16
  5. Step 5: Solve for x
    x = 73,020,692.16/12,283.80
  6. Step 6: Final answer
    x = 5,944.47

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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.