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Finding the Fourth Proportional to 3,984.72, 5,496 and 2,657.76

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Solution

The fourth proportional to 3,984.72, 5,496 and 2,657.76 is: 3,665.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,984.72 : 5,496 = 2,657.76 : x
  2. Step 2: Convert to fraction form
    3,984.72/5,496 = 2,657.76/x
  3. Step 3: Cross multiply
    3,984.72x = 5,496 × 2,657.76
  4. Step 4: Simplify right side
    3,984.72x = 14,607,048.96
  5. Step 5: Solve for x
    x = 14,607,048.96/3,984.72
  6. Step 6: Final answer
    x = 3,665.77

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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.