Home / 5,135.81-7,702-1,672.25

Finding the Fourth Proportional to 5,135.81, 7,702 and 1,672.25

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Solution

The fourth proportional to 5,135.81, 7,702 and 1,672.25 is: 2,507.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,135.81 : 7,702 = 1,672.25 : x
  2. Step 2: Convert to fraction form
    5,135.81/7,702 = 1,672.25/x
  3. Step 3: Cross multiply
    5,135.81x = 7,702 × 1,672.25
  4. Step 4: Simplify right side
    5,135.81x = 12,879,669.50
  5. Step 5: Solve for x
    x = 12,879,669.50/5,135.81
  6. Step 6: Final answer
    x = 2,507.82

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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.