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Finding the Fourth Proportional to 2,054.07, 3,079.86 and 866.69

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Solution

The fourth proportional to 2,054.07, 3,079.86 and 866.69 is: 1,299.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.07 : 3,079.86 = 866.69 : x
  2. Step 2: Convert to fraction form
    2,054.07/3,079.86 = 866.69/x
  3. Step 3: Cross multiply
    2,054.07x = 3,079.86 × 866.69
  4. Step 4: Simplify right side
    2,054.07x = 2,669,264.13
  5. Step 5: Solve for x
    x = 2,669,264.13/2,054.07
  6. Step 6: Final answer
    x = 1,299.50

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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.