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Finding the Fourth Proportional to 1,612.80, 2,227.20 and 1,478.40

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Solution

The fourth proportional to 1,612.80, 2,227.20 and 1,478.40 is: 2,041.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.80 : 2,227.20 = 1,478.40 : x
  2. Step 2: Convert to fraction form
    1,612.80/2,227.20 = 1,478.40/x
  3. Step 3: Cross multiply
    1,612.80x = 2,227.20 × 1,478.40
  4. Step 4: Simplify right side
    1,612.80x = 3,292,692.48
  5. Step 5: Solve for x
    x = 3,292,692.48/1,612.80
  6. Step 6: Final answer
    x = 2,041.60

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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.