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Finding the Fourth Proportional to 7,814.88, 10,789.20 and 6,940.08

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Solution

The fourth proportional to 7,814.88, 10,789.20 and 6,940.08 is: 9,581.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814.88 : 10,789.20 = 6,940.08 : x
  2. Step 2: Convert to fraction form
    7,814.88/10,789.20 = 6,940.08/x
  3. Step 3: Cross multiply
    7,814.88x = 10,789.20 × 6,940.08
  4. Step 4: Simplify right side
    7,814.88x = 74,877,911.14
  5. Step 5: Solve for x
    x = 74,877,911.14/7,814.88
  6. Step 6: Final answer
    x = 9,581.45

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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.