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Finding the Fourth Proportional to 31,854.67, 43,953 and 18,421

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Solution

The fourth proportional to 31,854.67, 43,953 and 18,421 is: 25,417.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,854.67 : 43,953 = 18,421 : x
  2. Step 2: Convert to fraction form
    31,854.67/43,953 = 18,421/x
  3. Step 3: Cross multiply
    31,854.67x = 43,953 × 18,421
  4. Step 4: Simplify right side
    31,854.67x = 809,658,213
  5. Step 5: Solve for x
    x = 809,658,213/31,854.67
  6. Step 6: Final answer
    x = 25,417.25

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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.