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Finding the Fourth Proportional to 10,709.76, 16,062.80 and 2,918.58

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Solution

The fourth proportional to 10,709.76, 16,062.80 and 2,918.58 is: 4,377.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,709.76 : 16,062.80 = 2,918.58 : x
  2. Step 2: Convert to fraction form
    10,709.76/16,062.80 = 2,918.58/x
  3. Step 3: Cross multiply
    10,709.76x = 16,062.80 × 2,918.58
  4. Step 4: Simplify right side
    10,709.76x = 46,880,566.82
  5. Step 5: Solve for x
    x = 46,880,566.82/10,709.76
  6. Step 6: Final answer
    x = 4,377.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.