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Finding the Fourth Proportional to 30,920.91, 42,670.86 and 17,491.88

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Solution

The fourth proportional to 30,920.91, 42,670.86 and 17,491.88 is: 24,138.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,920.91 : 42,670.86 = 17,491.88 : x
  2. Step 2: Convert to fraction form
    30,920.91/42,670.86 = 17,491.88/x
  3. Step 3: Cross multiply
    30,920.91x = 42,670.86 × 17,491.88
  4. Step 4: Simplify right side
    30,920.91x = 746,393,349.26
  5. Step 5: Solve for x
    x = 746,393,349.26/30,920.91
  6. Step 6: Final answer
    x = 24,138.79

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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.