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Finding the Fourth Proportional to 14,265.86, 19,685.97 and 7,977.14

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Solution

The fourth proportional to 14,265.86, 19,685.97 and 7,977.14 is: 11,007.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,265.86 : 19,685.97 = 7,977.14 : x
  2. Step 2: Convert to fraction form
    14,265.86/19,685.97 = 7,977.14/x
  3. Step 3: Cross multiply
    14,265.86x = 19,685.97 × 7,977.14
  4. Step 4: Simplify right side
    14,265.86x = 157,037,738.73
  5. Step 5: Solve for x
    x = 157,037,738.73/14,265.86
  6. Step 6: Final answer
    x = 11,007.94

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1.5x scale

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.