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Finding the Fourth Proportional to 2,855.76, 4,283.61 and 908.10

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Solution

The fourth proportional to 2,855.76, 4,283.61 and 908.10 is: 1,362.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.76 : 4,283.61 = 908.10 : x
  2. Step 2: Convert to fraction form
    2,855.76/4,283.61 = 908.10/x
  3. Step 3: Cross multiply
    2,855.76x = 4,283.61 × 908.10
  4. Step 4: Simplify right side
    2,855.76x = 3,889,946.24
  5. Step 5: Solve for x
    x = 3,889,946.24/2,855.76
  6. Step 6: Final answer
    x = 1,362.14

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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.