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Finding the Fourth Proportional to 6,490.79, 8,962.31 and 5,072.03

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Solution

The fourth proportional to 6,490.79, 8,962.31 and 5,072.03 is: 7,003.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,490.79 : 8,962.31 = 5,072.03 : x
  2. Step 2: Convert to fraction form
    6,490.79/8,962.31 = 5,072.03/x
  3. Step 3: Cross multiply
    6,490.79x = 8,962.31 × 5,072.03
  4. Step 4: Simplify right side
    6,490.79x = 45,457,035.02
  5. Step 5: Solve for x
    x = 45,457,035.02/6,490.79
  6. Step 6: Final answer
    x = 7,003.32

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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.