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Finding the Fourth Proportional to 7,998.49, 11,980.42 and 5,802.38

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Solution

The fourth proportional to 7,998.49, 11,980.42 and 5,802.38 is: 8,691.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,998.49 : 11,980.42 = 5,802.38 : x
  2. Step 2: Convert to fraction form
    7,998.49/11,980.42 = 5,802.38/x
  3. Step 3: Cross multiply
    7,998.49x = 11,980.42 × 5,802.38
  4. Step 4: Simplify right side
    7,998.49x = 69,514,874.99
  5. Step 5: Solve for x
    x = 69,514,874.99/7,998.49
  6. Step 6: Final answer
    x = 8,691.00

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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.