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Finding the Fourth Proportional to 2,881.84, 4,322.85 and 802

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Solution

The fourth proportional to 2,881.84, 4,322.85 and 802 is: 1,203.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,881.84 : 4,322.85 = 802 : x
  2. Step 2: Convert to fraction form
    2,881.84/4,322.85 = 802/x
  3. Step 3: Cross multiply
    2,881.84x = 4,322.85 × 802
  4. Step 4: Simplify right side
    2,881.84x = 3,466,925.70
  5. Step 5: Solve for x
    x = 3,466,925.70/2,881.84
  6. Step 6: Final answer
    x = 1,203.03

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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.