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Finding the Fourth Proportional to 31,574.28, 47,361 and 9,085.54

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Solution

The fourth proportional to 31,574.28, 47,361 and 9,085.54 is: 13,628.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,574.28 : 47,361 = 9,085.54 : x
  2. Step 2: Convert to fraction form
    31,574.28/47,361 = 9,085.54/x
  3. Step 3: Cross multiply
    31,574.28x = 47,361 × 9,085.54
  4. Step 4: Simplify right side
    31,574.28x = 430,300,259.94
  5. Step 5: Solve for x
    x = 430,300,259.94/31,574.28
  6. Step 6: Final answer
    x = 13,628.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.