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Finding the Fourth Proportional to 15,713.78, 21,684.92 and 8,907.77

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Solution

The fourth proportional to 15,713.78, 21,684.92 and 8,907.77 is: 12,292.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,713.78 : 21,684.92 = 8,907.77 : x
  2. Step 2: Convert to fraction form
    15,713.78/21,684.92 = 8,907.77/x
  3. Step 3: Cross multiply
    15,713.78x = 21,684.92 × 8,907.77
  4. Step 4: Simplify right side
    15,713.78x = 193,164,126.86
  5. Step 5: Solve for x
    x = 193,164,126.86/15,713.78
  6. Step 6: Final answer
    x = 12,292.66

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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.