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Finding the Fourth Proportional to 10,257.65, 15,371.08 and 7,914.14

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Solution

The fourth proportional to 10,257.65, 15,371.08 and 7,914.14 is: 11,859.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,257.65 : 15,371.08 = 7,914.14 : x
  2. Step 2: Convert to fraction form
    10,257.65/15,371.08 = 7,914.14/x
  3. Step 3: Cross multiply
    10,257.65x = 15,371.08 × 7,914.14
  4. Step 4: Simplify right side
    10,257.65x = 121,648,840.07
  5. Step 5: Solve for x
    x = 121,648,840.07/10,257.65
  6. Step 6: Final answer
    x = 11,859.33

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1.5x scale

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.