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Finding the Fourth Proportional to 6,509.31, 8,978.22 and 4,493.49

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Solution

The fourth proportional to 6,509.31, 8,978.22 and 4,493.49 is: 6,197.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.31 : 8,978.22 = 4,493.49 : x
  2. Step 2: Convert to fraction form
    6,509.31/8,978.22 = 4,493.49/x
  3. Step 3: Cross multiply
    6,509.31x = 8,978.22 × 4,493.49
  4. Step 4: Simplify right side
    6,509.31x = 40,343,541.79
  5. Step 5: Solve for x
    x = 40,343,541.79/6,509.31
  6. Step 6: Final answer
    x = 6,197.82

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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.