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Finding the Fourth Proportional to 2,602.06, 3,904.64 and 959.78

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Solution

The fourth proportional to 2,602.06, 3,904.64 and 959.78 is: 1,440.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.06 : 3,904.64 = 959.78 : x
  2. Step 2: Convert to fraction form
    2,602.06/3,904.64 = 959.78/x
  3. Step 3: Cross multiply
    2,602.06x = 3,904.64 × 959.78
  4. Step 4: Simplify right side
    2,602.06x = 3,747,603.94
  5. Step 5: Solve for x
    x = 3,747,603.94/2,602.06
  6. Step 6: Final answer
    x = 1,440.25

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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.