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Finding the Fourth Proportional to 12,308.14, 16,943.34 and 9,319.24

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Solution

The fourth proportional to 12,308.14, 16,943.34 and 9,319.24 is: 12,828.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,308.14 : 16,943.34 = 9,319.24 : x
  2. Step 2: Convert to fraction form
    12,308.14/16,943.34 = 9,319.24/x
  3. Step 3: Cross multiply
    12,308.14x = 16,943.34 × 9,319.24
  4. Step 4: Simplify right side
    12,308.14x = 157,899,051.86
  5. Step 5: Solve for x
    x = 157,899,051.86/12,308.14
  6. Step 6: Final answer
    x = 12,828.83

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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.