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Finding the Fourth Proportional to 10,917.60, 15,054.39 and 7,374.66

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Solution

The fourth proportional to 10,917.60, 15,054.39 and 7,374.66 is: 10,168.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,917.60 : 15,054.39 = 7,374.66 : x
  2. Step 2: Convert to fraction form
    10,917.60/15,054.39 = 7,374.66/x
  3. Step 3: Cross multiply
    10,917.60x = 15,054.39 × 7,374.66
  4. Step 4: Simplify right side
    10,917.60x = 111,021,007.76
  5. Step 5: Solve for x
    x = 111,021,007.76/10,917.60
  6. Step 6: Final answer
    x = 10,168.99

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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.