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Finding the Fourth Proportional to 12,697.97, 19,022.67 and 7,701.87

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Solution

The fourth proportional to 12,697.97, 19,022.67 and 7,701.87 is: 11,538.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,697.97 : 19,022.67 = 7,701.87 : x
  2. Step 2: Convert to fraction form
    12,697.97/19,022.67 = 7,701.87/x
  3. Step 3: Cross multiply
    12,697.97x = 19,022.67 × 7,701.87
  4. Step 4: Simplify right side
    12,697.97x = 146,510,155.36
  5. Step 5: Solve for x
    x = 146,510,155.36/12,697.97
  6. Step 6: Final answer
    x = 11,538.08

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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.