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Finding the Fourth Proportional to 7,809.40, 10,956.20 and 7,809.40

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Solution

The fourth proportional to 7,809.40, 10,956.20 and 7,809.40 is: 10,956.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,809.40 : 10,956.20 = 7,809.40 : x
  2. Step 2: Convert to fraction form
    7,809.40/10,956.20 = 7,809.40/x
  3. Step 3: Cross multiply
    7,809.40x = 10,956.20 × 7,809.40
  4. Step 4: Simplify right side
    7,809.40x = 85,561,348.28
  5. Step 5: Solve for x
    x = 85,561,348.28/7,809.40
  6. Step 6: Final answer
    x = 10,956.20

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.