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Finding the Fourth Proportional to 15,177.86, 20,946.94 and 9,209.06

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Solution

The fourth proportional to 15,177.86, 20,946.94 and 9,209.06 is: 12,709.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,177.86 : 20,946.94 = 9,209.06 : x
  2. Step 2: Convert to fraction form
    15,177.86/20,946.94 = 9,209.06/x
  3. Step 3: Cross multiply
    15,177.86x = 20,946.94 × 9,209.06
  4. Step 4: Simplify right side
    15,177.86x = 192,901,627.28
  5. Step 5: Solve for x
    x = 192,901,627.28/15,177.86
  6. Step 6: Final answer
    x = 12,709.41

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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.