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Finding the Fourth Proportional to 17,578.80, 26,368.20 and 7,188.12

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Solution

The fourth proportional to 17,578.80, 26,368.20 and 7,188.12 is: 10,782.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,578.80 : 26,368.20 = 7,188.12 : x
  2. Step 2: Convert to fraction form
    17,578.80/26,368.20 = 7,188.12/x
  3. Step 3: Cross multiply
    17,578.80x = 26,368.20 × 7,188.12
  4. Step 4: Simplify right side
    17,578.80x = 189,537,785.78
  5. Step 5: Solve for x
    x = 189,537,785.78/17,578.80
  6. Step 6: Final answer
    x = 10,782.18

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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.