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Finding the Fourth Proportional to 7,641.28, 10,543 and 4,496.88

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Solution

The fourth proportional to 7,641.28, 10,543 and 4,496.88 is: 6,204.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641.28 : 10,543 = 4,496.88 : x
  2. Step 2: Convert to fraction form
    7,641.28/10,543 = 4,496.88/x
  3. Step 3: Cross multiply
    7,641.28x = 10,543 × 4,496.88
  4. Step 4: Simplify right side
    7,641.28x = 47,410,605.84
  5. Step 5: Solve for x
    x = 47,410,605.84/7,641.28
  6. Step 6: Final answer
    x = 6,204.54

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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.