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Finding the Fourth Proportional to 2,603.64, 3,906.90 and 1,065.72

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Solution

The fourth proportional to 2,603.64, 3,906.90 and 1,065.72 is: 1,599.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,603.64 : 3,906.90 = 1,065.72 : x
  2. Step 2: Convert to fraction form
    2,603.64/3,906.90 = 1,065.72/x
  3. Step 3: Cross multiply
    2,603.64x = 3,906.90 × 1,065.72
  4. Step 4: Simplify right side
    2,603.64x = 4,163,661.47
  5. Step 5: Solve for x
    x = 4,163,661.47/2,603.64
  6. Step 6: Final answer
    x = 1,599.17

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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.