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Finding the Fourth Proportional to 9,909.69, 14,863.77 and 3,666.77

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Solution

The fourth proportional to 9,909.69, 14,863.77 and 3,666.77 is: 5,499.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,909.69 : 14,863.77 = 3,666.77 : x
  2. Step 2: Convert to fraction form
    9,909.69/14,863.77 = 3,666.77/x
  3. Step 3: Cross multiply
    9,909.69x = 14,863.77 × 3,666.77
  4. Step 4: Simplify right side
    9,909.69x = 54,501,951.60
  5. Step 5: Solve for x
    x = 54,501,951.60/9,909.69
  6. Step 6: Final answer
    x = 5,499.86

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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.