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Finding the Fourth Proportional to 9,699.78, 14,542.50 and 6,571.98

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Solution

The fourth proportional to 9,699.78, 14,542.50 and 6,571.98 is: 9,853.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,699.78 : 14,542.50 = 6,571.98 : x
  2. Step 2: Convert to fraction form
    9,699.78/14,542.50 = 6,571.98/x
  3. Step 3: Cross multiply
    9,699.78x = 14,542.50 × 6,571.98
  4. Step 4: Simplify right side
    9,699.78x = 95,573,019.15
  5. Step 5: Solve for x
    x = 95,573,019.15/9,699.78
  6. Step 6: Final answer
    x = 9,853.11

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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.