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Finding the Fourth Proportional to 31,492.38, 43,457.49 and 17,345.22

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Solution

The fourth proportional to 31,492.38, 43,457.49 and 17,345.22 is: 23,935.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,492.38 : 43,457.49 = 17,345.22 : x
  2. Step 2: Convert to fraction form
    31,492.38/43,457.49 = 17,345.22/x
  3. Step 3: Cross multiply
    31,492.38x = 43,457.49 × 17,345.22
  4. Step 4: Simplify right side
    31,492.38x = 753,779,789.98
  5. Step 5: Solve for x
    x = 753,779,789.98/31,492.38
  6. Step 6: Final answer
    x = 23,935.31

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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.