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Finding the Fourth Proportional to 17,617, 26,406.88 and 6,516.56

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Solution

The fourth proportional to 17,617, 26,406.88 and 6,516.56 is: 9,767.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,617 : 26,406.88 = 6,516.56 : x
  2. Step 2: Convert to fraction form
    17,617/26,406.88 = 6,516.56/x
  3. Step 3: Cross multiply
    17,617x = 26,406.88 × 6,516.56
  4. Step 4: Simplify right side
    17,617x = 172,082,017.93
  5. Step 5: Solve for x
    x = 172,082,017.93/17,617
  6. Step 6: Final answer
    x = 9,767.95

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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.