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Finding the Fourth Proportional to 8,005.82, 12,008.92 and 4,721.26

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Solution

The fourth proportional to 8,005.82, 12,008.92 and 4,721.26 is: 7,082.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,005.82 : 12,008.92 = 4,721.26 : x
  2. Step 2: Convert to fraction form
    8,005.82/12,008.92 = 4,721.26/x
  3. Step 3: Cross multiply
    8,005.82x = 12,008.92 × 4,721.26
  4. Step 4: Simplify right side
    8,005.82x = 56,697,233.64
  5. Step 5: Solve for x
    x = 56,697,233.64/8,005.82
  6. Step 6: Final answer
    x = 7,082.00

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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.