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Finding the Fourth Proportional to 9,405.48, 12,979.71 and 5,156.49

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Solution

The fourth proportional to 9,405.48, 12,979.71 and 5,156.49 is: 7,116.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,405.48 : 12,979.71 = 5,156.49 : x
  2. Step 2: Convert to fraction form
    9,405.48/12,979.71 = 5,156.49/x
  3. Step 3: Cross multiply
    9,405.48x = 12,979.71 × 5,156.49
  4. Step 4: Simplify right side
    9,405.48x = 66,929,744.82
  5. Step 5: Solve for x
    x = 66,929,744.82/9,405.48
  6. Step 6: Final answer
    x = 7,116.04

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