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Finding the Fourth Proportional to 10,953.76, 15,114 and 6,479.68

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Solution

The fourth proportional to 10,953.76, 15,114 and 6,479.68 is: 8,940.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,953.76 : 15,114 = 6,479.68 : x
  2. Step 2: Convert to fraction form
    10,953.76/15,114 = 6,479.68/x
  3. Step 3: Cross multiply
    10,953.76x = 15,114 × 6,479.68
  4. Step 4: Simplify right side
    10,953.76x = 97,933,883.52
  5. Step 5: Solve for x
    x = 97,933,883.52/10,953.76
  6. Step 6: Final answer
    x = 8,940.66

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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.