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Finding the Fourth Proportional to 15,802.25, 21,806.69 and 8,728.52

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Solution

The fourth proportional to 15,802.25, 21,806.69 and 8,728.52 is: 12,045.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,802.25 : 21,806.69 = 8,728.52 : x
  2. Step 2: Convert to fraction form
    15,802.25/21,806.69 = 8,728.52/x
  3. Step 3: Cross multiply
    15,802.25x = 21,806.69 × 8,728.52
  4. Step 4: Simplify right side
    15,802.25x = 190,339,977.12
  5. Step 5: Solve for x
    x = 190,339,977.12/15,802.25
  6. Step 6: Final answer
    x = 12,045.12

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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.