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Finding the Fourth Proportional to 12,538.61, 17,305.05 and 7,760.09

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Solution

The fourth proportional to 12,538.61, 17,305.05 and 7,760.09 is: 10,710.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,538.61 : 17,305.05 = 7,760.09 : x
  2. Step 2: Convert to fraction form
    12,538.61/17,305.05 = 7,760.09/x
  3. Step 3: Cross multiply
    12,538.61x = 17,305.05 × 7,760.09
  4. Step 4: Simplify right side
    12,538.61x = 134,288,698.65
  5. Step 5: Solve for x
    x = 134,288,698.65/12,538.61
  6. Step 6: Final answer
    x = 10,710.01

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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.