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Finding the Fourth Proportional to 6,642.34, 9,957.03 and 3,182.02

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Solution

The fourth proportional to 6,642.34, 9,957.03 and 3,182.02 is: 4,769.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,642.34 : 9,957.03 = 3,182.02 : x
  2. Step 2: Convert to fraction form
    6,642.34/9,957.03 = 3,182.02/x
  3. Step 3: Cross multiply
    6,642.34x = 9,957.03 × 3,182.02
  4. Step 4: Simplify right side
    6,642.34x = 31,683,468.60
  5. Step 5: Solve for x
    x = 31,683,468.60/6,642.34
  6. Step 6: Final answer
    x = 4,769.93

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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.