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Finding the Fourth Proportional to 6,509.70, 8,978.58 and 4,149.72

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Solution

The fourth proportional to 6,509.70, 8,978.58 and 4,149.72 is: 5,723.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.70 : 8,978.58 = 4,149.72 : x
  2. Step 2: Convert to fraction form
    6,509.70/8,978.58 = 4,149.72/x
  3. Step 3: Cross multiply
    6,509.70x = 8,978.58 × 4,149.72
  4. Step 4: Simplify right side
    6,509.70x = 37,258,593.00
  5. Step 5: Solve for x
    x = 37,258,593.00/6,509.70
  6. Step 6: Final answer
    x = 5,723.55

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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.