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Finding the Fourth Proportional to 9,909.83, 13,668.39 and 8,415.38

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Solution

The fourth proportional to 9,909.83, 13,668.39 and 8,415.38 is: 11,607.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,909.83 : 13,668.39 = 8,415.38 : x
  2. Step 2: Convert to fraction form
    9,909.83/13,668.39 = 8,415.38/x
  3. Step 3: Cross multiply
    9,909.83x = 13,668.39 × 8,415.38
  4. Step 4: Simplify right side
    9,909.83x = 115,024,627.50
  5. Step 5: Solve for x
    x = 115,024,627.50/9,909.83
  6. Step 6: Final answer
    x = 11,607.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.