Home / 5,205-7,808.76-1,742.34

Finding the Fourth Proportional to 5,205, 7,808.76 and 1,742.34

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Solution

The fourth proportional to 5,205, 7,808.76 and 1,742.34 is: 2,613.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205 : 7,808.76 = 1,742.34 : x
  2. Step 2: Convert to fraction form
    5,205/7,808.76 = 1,742.34/x
  3. Step 3: Cross multiply
    5,205x = 7,808.76 × 1,742.34
  4. Step 4: Simplify right side
    5,205x = 13,605,514.90
  5. Step 5: Solve for x
    x = 13,605,514.90/5,205
  6. Step 6: Final answer
    x = 2,613.93

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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.