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Finding the Fourth Proportional to 15,821.27, 21,830.27 and 9,107.18

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Solution

The fourth proportional to 15,821.27, 21,830.27 and 9,107.18 is: 12,566.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,821.27 : 21,830.27 = 9,107.18 : x
  2. Step 2: Convert to fraction form
    15,821.27/21,830.27 = 9,107.18/x
  3. Step 3: Cross multiply
    15,821.27x = 21,830.27 × 9,107.18
  4. Step 4: Simplify right side
    15,821.27x = 198,812,043.65
  5. Step 5: Solve for x
    x = 198,812,043.65/15,821.27
  6. Step 6: Final answer
    x = 12,566.13

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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.