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Finding the Fourth Proportional to 1,956.02, 2,934.32 and 569.18

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Solution

The fourth proportional to 1,956.02, 2,934.32 and 569.18 is: 853.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,956.02 : 2,934.32 = 569.18 : x
  2. Step 2: Convert to fraction form
    1,956.02/2,934.32 = 569.18/x
  3. Step 3: Cross multiply
    1,956.02x = 2,934.32 × 569.18
  4. Step 4: Simplify right side
    1,956.02x = 1,670,143.01
  5. Step 5: Solve for x
    x = 1,670,143.01/1,956.02
  6. Step 6: Final answer
    x = 853.85

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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.