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Finding the Fourth Proportional to 4,678.99, 6,997.82 and 4,162.61

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Solution

The fourth proportional to 4,678.99, 6,997.82 and 4,162.61 is: 6,225.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,678.99 : 6,997.82 = 4,162.61 : x
  2. Step 2: Convert to fraction form
    4,678.99/6,997.82 = 4,162.61/x
  3. Step 3: Cross multiply
    4,678.99x = 6,997.82 × 4,162.61
  4. Step 4: Simplify right side
    4,678.99x = 29,129,192.19
  5. Step 5: Solve for x
    x = 29,129,192.19/4,678.99
  6. Step 6: Final answer
    x = 6,225.53

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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.