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Finding the Fourth Proportional to 6,490.61, 9,739.10 and 4,024.79

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Solution

The fourth proportional to 6,490.61, 9,739.10 and 4,024.79 is: 6,039.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,490.61 : 9,739.10 = 4,024.79 : x
  2. Step 2: Convert to fraction form
    6,490.61/9,739.10 = 4,024.79/x
  3. Step 3: Cross multiply
    6,490.61x = 9,739.10 × 4,024.79
  4. Step 4: Simplify right side
    6,490.61x = 39,197,812.17
  5. Step 5: Solve for x
    x = 39,197,812.17/6,490.61
  6. Step 6: Final answer
    x = 6,039.16

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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.