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Finding the Fourth Proportional to 17,742.39, 26,613 and 7,209.29

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Solution

The fourth proportional to 17,742.39, 26,613 and 7,209.29 is: 10,813.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,742.39 : 26,613 = 7,209.29 : x
  2. Step 2: Convert to fraction form
    17,742.39/26,613 = 7,209.29/x
  3. Step 3: Cross multiply
    17,742.39x = 26,613 × 7,209.29
  4. Step 4: Simplify right side
    17,742.39x = 191,860,701.71
  5. Step 5: Solve for x
    x = 191,860,701.71/17,742.39
  6. Step 6: Final answer
    x = 10,813.69

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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.