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Finding the Fourth Proportional to 17,620.64, 26,412.84 and 7,758.08

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Solution

The fourth proportional to 17,620.64, 26,412.84 and 7,758.08 is: 11,629.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,620.64 : 26,412.84 = 7,758.08 : x
  2. Step 2: Convert to fraction form
    17,620.64/26,412.84 = 7,758.08/x
  3. Step 3: Cross multiply
    17,620.64x = 26,412.84 × 7,758.08
  4. Step 4: Simplify right side
    17,620.64x = 204,912,925.75
  5. Step 5: Solve for x
    x = 204,912,925.75/17,620.64
  6. Step 6: Final answer
    x = 11,629.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.