Home / 5,205.26-7,809.02-1,507.64

Finding the Fourth Proportional to 5,205.26, 7,809.02 and 1,507.64

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Solution

The fourth proportional to 5,205.26, 7,809.02 and 1,507.64 is: 2,261.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.26 : 7,809.02 = 1,507.64 : x
  2. Step 2: Convert to fraction form
    5,205.26/7,809.02 = 1,507.64/x
  3. Step 3: Cross multiply
    5,205.26x = 7,809.02 × 1,507.64
  4. Step 4: Simplify right side
    5,205.26x = 11,773,155.64
  5. Step 5: Solve for x
    x = 11,773,155.64/5,205.26
  6. Step 6: Final answer
    x = 2,261.78

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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.