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Finding the Fourth Proportional to 1,981.01, 2,971.71 and 520.17

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Solution

The fourth proportional to 1,981.01, 2,971.71 and 520.17 is: 780.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.01 : 2,971.71 = 520.17 : x
  2. Step 2: Convert to fraction form
    1,981.01/2,971.71 = 520.17/x
  3. Step 3: Cross multiply
    1,981.01x = 2,971.71 × 520.17
  4. Step 4: Simplify right side
    1,981.01x = 1,545,794.39
  5. Step 5: Solve for x
    x = 1,545,794.39/1,981.01
  6. Step 6: Final answer
    x = 780.31

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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.