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Finding the Fourth Proportional to 15,882.80, 21,909.09 and 9,904.08

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Solution

The fourth proportional to 15,882.80, 21,909.09 and 9,904.08 is: 13,661.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,882.80 : 21,909.09 = 9,904.08 : x
  2. Step 2: Convert to fraction form
    15,882.80/21,909.09 = 9,904.08/x
  3. Step 3: Cross multiply
    15,882.80x = 21,909.09 × 9,904.08
  4. Step 4: Simplify right side
    15,882.80x = 216,989,499.39
  5. Step 5: Solve for x
    x = 216,989,499.39/15,882.80
  6. Step 6: Final answer
    x = 13,661.92

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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.