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Finding the Fourth Proportional to 15,924.84, 21,979.08 and 9,209.40

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Solution

The fourth proportional to 15,924.84, 21,979.08 and 9,209.40 is: 12,710.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,924.84 : 21,979.08 = 9,209.40 : x
  2. Step 2: Convert to fraction form
    15,924.84/21,979.08 = 9,209.40/x
  3. Step 3: Cross multiply
    15,924.84x = 21,979.08 × 9,209.40
  4. Step 4: Simplify right side
    15,924.84x = 202,414,139.35
  5. Step 5: Solve for x
    x = 202,414,139.35/15,924.84
  6. Step 6: Final answer
    x = 12,710.59

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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.