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Finding the Fourth Proportional to 7,738.40, 10,664.40 and 7,623.20

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Solution

The fourth proportional to 7,738.40, 10,664.40 and 7,623.20 is: 10,505.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,738.40 : 10,664.40 = 7,623.20 : x
  2. Step 2: Convert to fraction form
    7,738.40/10,664.40 = 7,623.20/x
  3. Step 3: Cross multiply
    7,738.40x = 10,664.40 × 7,623.20
  4. Step 4: Simplify right side
    7,738.40x = 81,296,854.08
  5. Step 5: Solve for x
    x = 81,296,854.08/7,738.40
  6. Step 6: Final answer
    x = 10,505.64

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Half scale
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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.