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Finding the Fourth Proportional to 9,663.80, 14,497.70 and 5,505.80

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Solution

The fourth proportional to 9,663.80, 14,497.70 and 5,505.80 is: 8,259.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663.80 : 14,497.70 = 5,505.80 : x
  2. Step 2: Convert to fraction form
    9,663.80/14,497.70 = 5,505.80/x
  3. Step 3: Cross multiply
    9,663.80x = 14,497.70 × 5,505.80
  4. Step 4: Simplify right side
    9,663.80x = 79,821,436.66
  5. Step 5: Solve for x
    x = 79,821,436.66/9,663.80
  6. Step 6: Final answer
    x = 8,259.84

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1.5x scale

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.