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Finding the Fourth Proportional to 1,989.46, 2,983.84 and 893.63

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Solution

The fourth proportional to 1,989.46, 2,983.84 and 893.63 is: 1,340.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,989.46 : 2,983.84 = 893.63 : x
  2. Step 2: Convert to fraction form
    1,989.46/2,983.84 = 893.63/x
  3. Step 3: Cross multiply
    1,989.46x = 2,983.84 × 893.63
  4. Step 4: Simplify right side
    1,989.46x = 2,666,454.16
  5. Step 5: Solve for x
    x = 2,666,454.16/1,989.46
  6. Step 6: Final answer
    x = 1,340.29

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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.