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Finding the Fourth Proportional to 15,822, 21,834.36 and 9,535.68

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Solution

The fourth proportional to 15,822, 21,834.36 and 9,535.68 is: 13,159.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,822 : 21,834.36 = 9,535.68 : x
  2. Step 2: Convert to fraction form
    15,822/21,834.36 = 9,535.68/x
  3. Step 3: Cross multiply
    15,822x = 21,834.36 × 9,535.68
  4. Step 4: Simplify right side
    15,822x = 208,205,469.96
  5. Step 5: Solve for x
    x = 208,205,469.96/15,822
  6. Step 6: Final answer
    x = 13,159.24

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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.