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Finding the Fourth Proportional to 2,572.50, 3,858.93 and 1,033.50

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Solution

The fourth proportional to 2,572.50, 3,858.93 and 1,033.50 is: 1,550.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.50 : 3,858.93 = 1,033.50 : x
  2. Step 2: Convert to fraction form
    2,572.50/3,858.93 = 1,033.50/x
  3. Step 3: Cross multiply
    2,572.50x = 3,858.93 × 1,033.50
  4. Step 4: Simplify right side
    2,572.50x = 3,988,204.16
  5. Step 5: Solve for x
    x = 3,988,204.16/2,572.50
  6. Step 6: Final answer
    x = 1,550.32

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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.