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Finding the Fourth Proportional to 8,002.86, 11,018.85 and 6,805.47

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Solution

The fourth proportional to 8,002.86, 11,018.85 and 6,805.47 is: 9,370.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.86 : 11,018.85 = 6,805.47 : x
  2. Step 2: Convert to fraction form
    8,002.86/11,018.85 = 6,805.47/x
  3. Step 3: Cross multiply
    8,002.86x = 11,018.85 × 6,805.47
  4. Step 4: Simplify right side
    8,002.86x = 74,988,453.11
  5. Step 5: Solve for x
    x = 74,988,453.11/8,002.86
  6. Step 6: Final answer
    x = 9,370.21

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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.