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Finding the Fourth Proportional to 1,988.96, 2,983.44 and 893.12

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Solution

The fourth proportional to 1,988.96, 2,983.44 and 893.12 is: 1,339.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,988.96 : 2,983.44 = 893.12 : x
  2. Step 2: Convert to fraction form
    1,988.96/2,983.44 = 893.12/x
  3. Step 3: Cross multiply
    1,988.96x = 2,983.44 × 893.12
  4. Step 4: Simplify right side
    1,988.96x = 2,664,569.93
  5. Step 5: Solve for x
    x = 2,664,569.93/1,988.96
  6. Step 6: Final answer
    x = 1,339.68

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Similar ratio
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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.