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Finding the Fourth Proportional to 10,709.87, 16,064.87 and 2,918.75

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Solution

The fourth proportional to 10,709.87, 16,064.87 and 2,918.75 is: 4,378.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,709.87 : 16,064.87 = 2,918.75 : x
  2. Step 2: Convert to fraction form
    10,709.87/16,064.87 = 2,918.75/x
  3. Step 3: Cross multiply
    10,709.87x = 16,064.87 × 2,918.75
  4. Step 4: Simplify right side
    10,709.87x = 46,889,244.39
  5. Step 5: Solve for x
    x = 46,889,244.39/10,709.87
  6. Step 6: Final answer
    x = 4,378.14

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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.