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Finding the Fourth Proportional to 31,045.96, 42,845.22 and 16,898.44

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Solution

The fourth proportional to 31,045.96, 42,845.22 and 16,898.44 is: 23,320.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,045.96 : 42,845.22 = 16,898.44 : x
  2. Step 2: Convert to fraction form
    31,045.96/42,845.22 = 16,898.44/x
  3. Step 3: Cross multiply
    31,045.96x = 42,845.22 × 16,898.44
  4. Step 4: Simplify right side
    31,045.96x = 724,017,379.46
  5. Step 5: Solve for x
    x = 724,017,379.46/31,045.96
  6. Step 6: Final answer
    x = 23,320.82

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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.