Home / 6,500-8,971.60-3,707.12

Finding the Fourth Proportional to 6,500, 8,971.60 and 3,707.12

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Solution

The fourth proportional to 6,500, 8,971.60 and 3,707.12 is: 5,116.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500 : 8,971.60 = 3,707.12 : x
  2. Step 2: Convert to fraction form
    6,500/8,971.60 = 3,707.12/x
  3. Step 3: Cross multiply
    6,500x = 8,971.60 × 3,707.12
  4. Step 4: Simplify right side
    6,500x = 33,258,797.79
  5. Step 5: Solve for x
    x = 33,258,797.79/6,500
  6. Step 6: Final answer
    x = 5,116.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.