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Finding the Fourth Proportional to 15,882.80, 21,918.16 and 8,809.20

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Solution

The fourth proportional to 15,882.80, 21,918.16 and 8,809.20 is: 12,156.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,882.80 : 21,918.16 = 8,809.20 : x
  2. Step 2: Convert to fraction form
    15,882.80/21,918.16 = 8,809.20/x
  3. Step 3: Cross multiply
    15,882.80x = 21,918.16 × 8,809.20
  4. Step 4: Simplify right side
    15,882.80x = 193,081,455.07
  5. Step 5: Solve for x
    x = 193,081,455.07/15,882.80
  6. Step 6: Final answer
    x = 12,156.64

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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.