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Finding the Fourth Proportional to 6,499, 8,968.62 and 3,555

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Solution

The fourth proportional to 6,499, 8,968.62 and 3,555 is: 4,905.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,499 : 8,968.62 = 3,555 : x
  2. Step 2: Convert to fraction form
    6,499/8,968.62 = 3,555/x
  3. Step 3: Cross multiply
    6,499x = 8,968.62 × 3,555
  4. Step 4: Simplify right side
    6,499x = 31,883,444.10
  5. Step 5: Solve for x
    x = 31,883,444.10/6,499
  6. Step 6: Final answer
    x = 4,905.90

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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.