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Finding the Fourth Proportional to 6,647.90, 9,968.58 and 3,875.27

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Solution

The fourth proportional to 6,647.90, 9,968.58 and 3,875.27 is: 5,811.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,647.90 : 9,968.58 = 3,875.27 : x
  2. Step 2: Convert to fraction form
    6,647.90/9,968.58 = 3,875.27/x
  3. Step 3: Cross multiply
    6,647.90x = 9,968.58 × 3,875.27
  4. Step 4: Simplify right side
    6,647.90x = 38,630,939.02
  5. Step 5: Solve for x
    x = 38,630,939.02/6,647.90
  6. Step 6: Final answer
    x = 5,811.00

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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.