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Finding the Fourth Proportional to 6,566, 9,849 and 6,400.76

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Solution

The fourth proportional to 6,566, 9,849 and 6,400.76 is: 9,601.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,566 : 9,849 = 6,400.76 : x
  2. Step 2: Convert to fraction form
    6,566/9,849 = 6,400.76/x
  3. Step 3: Cross multiply
    6,566x = 9,849 × 6,400.76
  4. Step 4: Simplify right side
    6,566x = 63,041,085.24
  5. Step 5: Solve for x
    x = 63,041,085.24/6,566
  6. Step 6: Final answer
    x = 9,601.14

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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.