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Finding the Fourth Proportional to 7,853.71, 11,780.61 and 2,307.03

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Solution

The fourth proportional to 7,853.71, 11,780.61 and 2,307.03 is: 3,460.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,853.71 : 11,780.61 = 2,307.03 : x
  2. Step 2: Convert to fraction form
    7,853.71/11,780.61 = 2,307.03/x
  3. Step 3: Cross multiply
    7,853.71x = 11,780.61 × 2,307.03
  4. Step 4: Simplify right side
    7,853.71x = 27,178,205.96
  5. Step 5: Solve for x
    x = 27,178,205.96/7,853.71
  6. Step 6: Final answer
    x = 3,460.56

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.