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Finding the Fourth Proportional to 6,600, 9,898.92 and 4,646.28

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Solution

The fourth proportional to 6,600, 9,898.92 and 4,646.28 is: 6,968.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,600 : 9,898.92 = 4,646.28 : x
  2. Step 2: Convert to fraction form
    6,600/9,898.92 = 4,646.28/x
  3. Step 3: Cross multiply
    6,600x = 9,898.92 × 4,646.28
  4. Step 4: Simplify right side
    6,600x = 45,993,154.02
  5. Step 5: Solve for x
    x = 45,993,154.02/6,600
  6. Step 6: Final answer
    x = 6,968.66

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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.