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Finding the Fourth Proportional to 1,993.19, 2,989.76 and 896.78

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Solution

The fourth proportional to 1,993.19, 2,989.76 and 896.78 is: 1,345.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993.19 : 2,989.76 = 896.78 : x
  2. Step 2: Convert to fraction form
    1,993.19/2,989.76 = 896.78/x
  3. Step 3: Cross multiply
    1,993.19x = 2,989.76 × 896.78
  4. Step 4: Simplify right side
    1,993.19x = 2,681,152.49
  5. Step 5: Solve for x
    x = 2,681,152.49/1,993.19
  6. Step 6: Final answer
    x = 1,345.16

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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.