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Finding the Fourth Proportional to 15,784.74, 21,783 and 8,711.16

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Solution

The fourth proportional to 15,784.74, 21,783 and 8,711.16 is: 12,021.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,784.74 : 21,783 = 8,711.16 : x
  2. Step 2: Convert to fraction form
    15,784.74/21,783 = 8,711.16/x
  3. Step 3: Cross multiply
    15,784.74x = 21,783 × 8,711.16
  4. Step 4: Simplify right side
    15,784.74x = 189,755,198.28
  5. Step 5: Solve for x
    x = 189,755,198.28/15,784.74
  6. Step 6: Final answer
    x = 12,021.43

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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.