Home / 5,205.40-7,808.02-1,309.80

Finding the Fourth Proportional to 5,205.40, 7,808.02 and 1,309.80

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Solution

The fourth proportional to 5,205.40, 7,808.02 and 1,309.80 is: 1,964.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.40 : 7,808.02 = 1,309.80 : x
  2. Step 2: Convert to fraction form
    5,205.40/7,808.02 = 1,309.80/x
  3. Step 3: Cross multiply
    5,205.40x = 7,808.02 × 1,309.80
  4. Step 4: Simplify right side
    5,205.40x = 10,226,944.60
  5. Step 5: Solve for x
    x = 10,226,944.60/5,205.40
  6. Step 6: Final answer
    x = 1,964.68

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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.