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Finding the Fourth Proportional to 1,956.39, 2,934.57 and 802.14

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Solution

The fourth proportional to 1,956.39, 2,934.57 and 802.14 is: 1,203.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,956.39 : 2,934.57 = 802.14 : x
  2. Step 2: Convert to fraction form
    1,956.39/2,934.57 = 802.14/x
  3. Step 3: Cross multiply
    1,956.39x = 2,934.57 × 802.14
  4. Step 4: Simplify right side
    1,956.39x = 2,353,935.98
  5. Step 5: Solve for x
    x = 2,353,935.98/1,956.39
  6. Step 6: Final answer
    x = 1,203.20

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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.