Home / 5,151-7,723.61-1,640.40

Finding the Fourth Proportional to 5,151, 7,723.61 and 1,640.40

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Solution

The fourth proportional to 5,151, 7,723.61 and 1,640.40 is: 2,459.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,151 : 7,723.61 = 1,640.40 : x
  2. Step 2: Convert to fraction form
    5,151/7,723.61 = 1,640.40/x
  3. Step 3: Cross multiply
    5,151x = 7,723.61 × 1,640.40
  4. Step 4: Simplify right side
    5,151x = 12,669,809.84
  5. Step 5: Solve for x
    x = 12,669,809.84/5,151
  6. Step 6: Final answer
    x = 2,459.68

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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.