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Finding the Fourth Proportional to 15,907.80, 21,953.76 and 9,194.64

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Solution

The fourth proportional to 15,907.80, 21,953.76 and 9,194.64 is: 12,689.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,907.80 : 21,953.76 = 9,194.64 : x
  2. Step 2: Convert to fraction form
    15,907.80/21,953.76 = 9,194.64/x
  3. Step 3: Cross multiply
    15,907.80x = 21,953.76 × 9,194.64
  4. Step 4: Simplify right side
    15,907.80x = 201,856,919.85
  5. Step 5: Solve for x
    x = 201,856,919.85/15,907.80
  6. Step 6: Final answer
    x = 12,689.18

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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.