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Finding the Fourth Proportional to 10,203.75, 15,304.91 and 5,007.75

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Solution

The fourth proportional to 10,203.75, 15,304.91 and 5,007.75 is: 7,511.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,203.75 : 15,304.91 = 5,007.75 : x
  2. Step 2: Convert to fraction form
    10,203.75/15,304.91 = 5,007.75/x
  3. Step 3: Cross multiply
    10,203.75x = 15,304.91 × 5,007.75
  4. Step 4: Simplify right side
    10,203.75x = 76,643,138.01
  5. Step 5: Solve for x
    x = 76,643,138.01/10,203.75
  6. Step 6: Final answer
    x = 7,511.27

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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.