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Finding the Fourth Proportional to 8,556, 11,798.64 and 7,717.92

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Solution

The fourth proportional to 8,556, 11,798.64 and 7,717.92 is: 10,642.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,556 : 11,798.64 = 7,717.92 : x
  2. Step 2: Convert to fraction form
    8,556/11,798.64 = 7,717.92/x
  3. Step 3: Cross multiply
    8,556x = 11,798.64 × 7,717.92
  4. Step 4: Simplify right side
    8,556x = 91,060,959.63
  5. Step 5: Solve for x
    x = 91,060,959.63/8,556
  6. Step 6: Final answer
    x = 10,642.94

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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.