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Finding the Fourth Proportional to 21,952.29, 30,290.99 and 13,000.17

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Solution

The fourth proportional to 21,952.29, 30,290.99 and 13,000.17 is: 17,938.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,952.29 : 30,290.99 = 13,000.17 : x
  2. Step 2: Convert to fraction form
    21,952.29/30,290.99 = 13,000.17/x
  3. Step 3: Cross multiply
    21,952.29x = 30,290.99 × 13,000.17
  4. Step 4: Simplify right side
    21,952.29x = 393,787,954.47
  5. Step 5: Solve for x
    x = 393,787,954.47/21,952.29
  6. Step 6: Final answer
    x = 17,938.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.