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Finding the Fourth Proportional to 7,647.28, 10,553.72 and 4,503.72

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Solution

The fourth proportional to 7,647.28, 10,553.72 and 4,503.72 is: 6,215.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647.28 : 10,553.72 = 4,503.72 : x
  2. Step 2: Convert to fraction form
    7,647.28/10,553.72 = 4,503.72/x
  3. Step 3: Cross multiply
    7,647.28x = 10,553.72 × 4,503.72
  4. Step 4: Simplify right side
    7,647.28x = 47,530,999.84
  5. Step 5: Solve for x
    x = 47,530,999.84/7,647.28
  6. Step 6: Final answer
    x = 6,215.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.