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Finding the Fourth Proportional to 5,205.95, 7,809.60 and 2,574.80

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Solution

The fourth proportional to 5,205.95, 7,809.60 and 2,574.80 is: 3,862.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.95 : 7,809.60 = 2,574.80 : x
  2. Step 2: Convert to fraction form
    5,205.95/7,809.60 = 2,574.80/x
  3. Step 3: Cross multiply
    5,205.95x = 7,809.60 × 2,574.80
  4. Step 4: Simplify right side
    5,205.95x = 20,108,158.08
  5. Step 5: Solve for x
    x = 20,108,158.08/5,205.95
  6. Step 6: Final answer
    x = 3,862.53

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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.