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Finding the Fourth Proportional to 1,900.65, 2,850.51 and 912.85

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Solution

The fourth proportional to 1,900.65, 2,850.51 and 912.85 is: 1,369.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900.65 : 2,850.51 = 912.85 : x
  2. Step 2: Convert to fraction form
    1,900.65/2,850.51 = 912.85/x
  3. Step 3: Cross multiply
    1,900.65x = 2,850.51 × 912.85
  4. Step 4: Simplify right side
    1,900.65x = 2,602,088.05
  5. Step 5: Solve for x
    x = 2,602,088.05/1,900.65
  6. Step 6: Final answer
    x = 1,369.05

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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.