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Finding the Fourth Proportional to 9,761, 13,470.18 and 5,345

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Solution

The fourth proportional to 9,761, 13,470.18 and 5,345 is: 7,376.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,761 : 13,470.18 = 5,345 : x
  2. Step 2: Convert to fraction form
    9,761/13,470.18 = 5,345/x
  3. Step 3: Cross multiply
    9,761x = 13,470.18 × 5,345
  4. Step 4: Simplify right side
    9,761x = 71,998,112.10
  5. Step 5: Solve for x
    x = 71,998,112.10/9,761
  6. Step 6: Final answer
    x = 7,376.10

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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.