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Finding the Fourth Proportional to 2,275.83, 3,415.07 and 959.50

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Solution

The fourth proportional to 2,275.83, 3,415.07 and 959.50 is: 1,439.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.83 : 3,415.07 = 959.50 : x
  2. Step 2: Convert to fraction form
    2,275.83/3,415.07 = 959.50/x
  3. Step 3: Cross multiply
    2,275.83x = 3,415.07 × 959.50
  4. Step 4: Simplify right side
    2,275.83x = 3,276,756.33
  5. Step 5: Solve for x
    x = 3,276,756.33/2,275.83
  6. Step 6: Final answer
    x = 1,439.81

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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.