Home / 5,205-7,808.70-1,742.28

Finding the Fourth Proportional to 5,205, 7,808.70 and 1,742.28

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Solution

The fourth proportional to 5,205, 7,808.70 and 1,742.28 is: 2,613.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205 : 7,808.70 = 1,742.28 : x
  2. Step 2: Convert to fraction form
    5,205/7,808.70 = 1,742.28/x
  3. Step 3: Cross multiply
    5,205x = 7,808.70 × 1,742.28
  4. Step 4: Simplify right side
    5,205x = 13,604,941.84
  5. Step 5: Solve for x
    x = 13,604,941.84/5,205
  6. Step 6: Final answer
    x = 2,613.82

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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.