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Finding the Fourth Proportional to 7,877.91, 11,820.99 and 7,424.12

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Solution

The fourth proportional to 7,877.91, 11,820.99 and 7,424.12 is: 11,140.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,877.91 : 11,820.99 = 7,424.12 : x
  2. Step 2: Convert to fraction form
    7,877.91/11,820.99 = 7,424.12/x
  3. Step 3: Cross multiply
    7,877.91x = 11,820.99 × 7,424.12
  4. Step 4: Simplify right side
    7,877.91x = 87,760,389.17
  5. Step 5: Solve for x
    x = 87,760,389.17/7,877.91
  6. Step 6: Final answer
    x = 11,140.06

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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.