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Finding the Fourth Proportional to 6,501.72, 8,970.78 and 3,849

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Solution

The fourth proportional to 6,501.72, 8,970.78 and 3,849 is: 5,310.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,501.72 : 8,970.78 = 3,849 : x
  2. Step 2: Convert to fraction form
    6,501.72/8,970.78 = 3,849/x
  3. Step 3: Cross multiply
    6,501.72x = 8,970.78 × 3,849
  4. Step 4: Simplify right side
    6,501.72x = 34,528,532.22
  5. Step 5: Solve for x
    x = 34,528,532.22/6,501.72
  6. Step 6: Final answer
    x = 5,310.68

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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.