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Finding the Fourth Proportional to 7,798.08, 11,699.28 and 3,637.92

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Solution

The fourth proportional to 7,798.08, 11,699.28 and 3,637.92 is: 5,457.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,798.08 : 11,699.28 = 3,637.92 : x
  2. Step 2: Convert to fraction form
    7,798.08/11,699.28 = 3,637.92/x
  3. Step 3: Cross multiply
    7,798.08x = 11,699.28 × 3,637.92
  4. Step 4: Simplify right side
    7,798.08x = 42,561,044.70
  5. Step 5: Solve for x
    x = 42,561,044.70/7,798.08
  6. Step 6: Final answer
    x = 5,457.89

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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.