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Finding the Fourth Proportional to 9,308, 12,845.06 and 5,116.28

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Solution

The fourth proportional to 9,308, 12,845.06 and 5,116.28 is: 7,060.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,308 : 12,845.06 = 5,116.28 : x
  2. Step 2: Convert to fraction form
    9,308/12,845.06 = 5,116.28/x
  3. Step 3: Cross multiply
    9,308x = 12,845.06 × 5,116.28
  4. Step 4: Simplify right side
    9,308x = 65,718,923.58
  5. Step 5: Solve for x
    x = 65,718,923.58/9,308
  6. Step 6: Final answer
    x = 7,060.48

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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.