Home / 4,207-6,311.40-1,433.92

Finding the Fourth Proportional to 4,207, 6,311.40 and 1,433.92

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Solution

The fourth proportional to 4,207, 6,311.40 and 1,433.92 is: 2,151.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,207 : 6,311.40 = 1,433.92 : x
  2. Step 2: Convert to fraction form
    4,207/6,311.40 = 1,433.92/x
  3. Step 3: Cross multiply
    4,207x = 6,311.40 × 1,433.92
  4. Step 4: Simplify right side
    4,207x = 9,050,042.69
  5. Step 5: Solve for x
    x = 9,050,042.69/4,207
  6. Step 6: Final answer
    x = 2,151.19

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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.