Home / 31,534-47,299.68-7,841.56

Finding the Fourth Proportional to 31,534, 47,299.68 and 7,841.56

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Solution

The fourth proportional to 31,534, 47,299.68 and 7,841.56 is: 11,762.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,534 : 47,299.68 = 7,841.56 : x
  2. Step 2: Convert to fraction form
    31,534/47,299.68 = 7,841.56/x
  3. Step 3: Cross multiply
    31,534x = 47,299.68 × 7,841.56
  4. Step 4: Simplify right side
    31,534x = 370,903,278.70
  5. Step 5: Solve for x
    x = 370,903,278.70/31,534
  6. Step 6: Final answer
    x = 11,762.01

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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.