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Finding the Fourth Proportional to 2,199.95, 3,300.19 and 901.25

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Solution

The fourth proportional to 2,199.95, 3,300.19 and 901.25 is: 1,351.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.95 : 3,300.19 = 901.25 : x
  2. Step 2: Convert to fraction form
    2,199.95/3,300.19 = 901.25/x
  3. Step 3: Cross multiply
    2,199.95x = 3,300.19 × 901.25
  4. Step 4: Simplify right side
    2,199.95x = 2,974,277.48
  5. Step 5: Solve for x
    x = 2,974,277.48/2,199.95
  6. Step 6: Final answer
    x = 1,351.98

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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.