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Finding the Fourth Proportional to 15,176.42, 20,941.77 and 9,209.54

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Solution

The fourth proportional to 15,176.42, 20,941.77 and 9,209.54 is: 12,708.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,176.42 : 20,941.77 = 9,209.54 : x
  2. Step 2: Convert to fraction form
    15,176.42/20,941.77 = 9,209.54/x
  3. Step 3: Cross multiply
    15,176.42x = 20,941.77 × 9,209.54
  4. Step 4: Simplify right side
    15,176.42x = 192,864,068.49
  5. Step 5: Solve for x
    x = 192,864,068.49/15,176.42
  6. Step 6: Final answer
    x = 12,708.14

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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.