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Finding the Fourth Proportional to 31,045.14, 42,841.02 and 16,898

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Solution

The fourth proportional to 31,045.14, 42,841.02 and 16,898 is: 23,318.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,045.14 : 42,841.02 = 16,898 : x
  2. Step 2: Convert to fraction form
    31,045.14/42,841.02 = 16,898/x
  3. Step 3: Cross multiply
    31,045.14x = 42,841.02 × 16,898
  4. Step 4: Simplify right side
    31,045.14x = 723,927,555.96
  5. Step 5: Solve for x
    x = 723,927,555.96/31,045.14
  6. Step 6: Final answer
    x = 23,318.55

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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.