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Finding the Fourth Proportional to 21,053, 31,589.34 and 9,205.23

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Solution

The fourth proportional to 21,053, 31,589.34 and 9,205.23 is: 13,812.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,053 : 31,589.34 = 9,205.23 : x
  2. Step 2: Convert to fraction form
    21,053/31,589.34 = 9,205.23/x
  3. Step 3: Cross multiply
    21,053x = 31,589.34 × 9,205.23
  4. Step 4: Simplify right side
    21,053x = 290,787,140.25
  5. Step 5: Solve for x
    x = 290,787,140.25/21,053
  6. Step 6: Final answer
    x = 13,812.15

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1.5x scale

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.