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Finding the Fourth Proportional to 3,981.26, 5,971.90 and 1,060

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Solution

The fourth proportional to 3,981.26, 5,971.90 and 1,060 is: 1,590.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,981.26 : 5,971.90 = 1,060 : x
  2. Step 2: Convert to fraction form
    3,981.26/5,971.90 = 1,060/x
  3. Step 3: Cross multiply
    3,981.26x = 5,971.90 × 1,060
  4. Step 4: Simplify right side
    3,981.26x = 6,330,214
  5. Step 5: Solve for x
    x = 6,330,214/3,981.26
  6. Step 6: Final answer
    x = 1,590.00

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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.