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Finding the Fourth Proportional to 7,728.96, 10,664.19 and 5,215.74

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Solution

The fourth proportional to 7,728.96, 10,664.19 and 5,215.74 is: 7,196.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728.96 : 10,664.19 = 5,215.74 : x
  2. Step 2: Convert to fraction form
    7,728.96/10,664.19 = 5,215.74/x
  3. Step 3: Cross multiply
    7,728.96x = 10,664.19 × 5,215.74
  4. Step 4: Simplify right side
    7,728.96x = 55,621,642.35
  5. Step 5: Solve for x
    x = 55,621,642.35/7,728.96
  6. Step 6: Final answer
    x = 7,196.52

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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.