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Finding the Fourth Proportional to 1,981, 2,970.91 and 594.21

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Solution

The fourth proportional to 1,981, 2,970.91 and 594.21 is: 891.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981 : 2,970.91 = 594.21 : x
  2. Step 2: Convert to fraction form
    1,981/2,970.91 = 594.21/x
  3. Step 3: Cross multiply
    1,981x = 2,970.91 × 594.21
  4. Step 4: Simplify right side
    1,981x = 1,765,344.43
  5. Step 5: Solve for x
    x = 1,765,344.43/1,981
  6. Step 6: Final answer
    x = 891.14

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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.