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Finding the Fourth Proportional to 8,665.86, 11,954.07 and 5,308.14

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Solution

The fourth proportional to 8,665.86, 11,954.07 and 5,308.14 is: 7,322.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,665.86 : 11,954.07 = 5,308.14 : x
  2. Step 2: Convert to fraction form
    8,665.86/11,954.07 = 5,308.14/x
  3. Step 3: Cross multiply
    8,665.86x = 11,954.07 × 5,308.14
  4. Step 4: Simplify right side
    8,665.86x = 63,453,877.13
  5. Step 5: Solve for x
    x = 63,453,877.13/8,665.86
  6. Step 6: Final answer
    x = 7,322.28

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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.