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Finding the Fourth Proportional to 7,836.99, 11,798.24 and 7,148.09

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Solution

The fourth proportional to 7,836.99, 11,798.24 and 7,148.09 is: 10,761.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,836.99 : 11,798.24 = 7,148.09 : x
  2. Step 2: Convert to fraction form
    7,836.99/11,798.24 = 7,148.09/x
  3. Step 3: Cross multiply
    7,836.99x = 11,798.24 × 7,148.09
  4. Step 4: Simplify right side
    7,836.99x = 84,334,881.36
  5. Step 5: Solve for x
    x = 84,334,881.36/7,836.99
  6. Step 6: Final answer
    x = 10,761.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.