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Finding the Fourth Proportional to 31,429, 43,373.24 and 17,281.54

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Solution

The fourth proportional to 31,429, 43,373.24 and 17,281.54 is: 23,849.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,429 : 43,373.24 = 17,281.54 : x
  2. Step 2: Convert to fraction form
    31,429/43,373.24 = 17,281.54/x
  3. Step 3: Cross multiply
    31,429x = 43,373.24 × 17,281.54
  4. Step 4: Simplify right side
    31,429x = 749,556,381.99
  5. Step 5: Solve for x
    x = 749,556,381.99/31,429
  6. Step 6: Final answer
    x = 23,849.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.