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Finding the Fourth Proportional to 12,567.65, 18,845.01 and 6,647.72

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Solution

The fourth proportional to 12,567.65, 18,845.01 and 6,647.72 is: 9,968.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,567.65 : 18,845.01 = 6,647.72 : x
  2. Step 2: Convert to fraction form
    12,567.65/18,845.01 = 6,647.72/x
  3. Step 3: Cross multiply
    12,567.65x = 18,845.01 × 6,647.72
  4. Step 4: Simplify right side
    12,567.65x = 125,276,255.65
  5. Step 5: Solve for x
    x = 125,276,255.65/12,567.65
  6. Step 6: Final answer
    x = 9,968.16

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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.