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Finding the Fourth Proportional to 9,909.94, 14,866.85 and 3,670

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Solution

The fourth proportional to 9,909.94, 14,866.85 and 3,670 is: 5,505.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,909.94 : 14,866.85 = 3,670 : x
  2. Step 2: Convert to fraction form
    9,909.94/14,866.85 = 3,670/x
  3. Step 3: Cross multiply
    9,909.94x = 14,866.85 × 3,670
  4. Step 4: Simplify right side
    9,909.94x = 54,561,339.50
  5. Step 5: Solve for x
    x = 54,561,339.50/9,909.94
  6. Step 6: Final answer
    x = 5,505.72

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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.