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Finding the Fourth Proportional to 1,591.84, 2,196.49 and 883.67

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Solution

The fourth proportional to 1,591.84, 2,196.49 and 883.67 is: 1,219.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.84 : 2,196.49 = 883.67 : x
  2. Step 2: Convert to fraction form
    1,591.84/2,196.49 = 883.67/x
  3. Step 3: Cross multiply
    1,591.84x = 2,196.49 × 883.67
  4. Step 4: Simplify right side
    1,591.84x = 1,940,956.92
  5. Step 5: Solve for x
    x = 1,940,956.92/1,591.84
  6. Step 6: Final answer
    x = 1,219.32

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.