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Finding the Fourth Proportional to 15,857.25, 21,883.01 and 8,784.13

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Solution

The fourth proportional to 15,857.25, 21,883.01 and 8,784.13 is: 12,122.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,857.25 : 21,883.01 = 8,784.13 : x
  2. Step 2: Convert to fraction form
    15,857.25/21,883.01 = 8,784.13/x
  3. Step 3: Cross multiply
    15,857.25x = 21,883.01 × 8,784.13
  4. Step 4: Simplify right side
    15,857.25x = 192,223,160.71
  5. Step 5: Solve for x
    x = 192,223,160.71/15,857.25
  6. Step 6: Final answer
    x = 12,122.10

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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.