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Finding the Fourth Proportional to 31,315.87, 46,978.67 and 10,537.75

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Solution

The fourth proportional to 31,315.87, 46,978.67 and 10,537.75 is: 15,808.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,315.87 : 46,978.67 = 10,537.75 : x
  2. Step 2: Convert to fraction form
    31,315.87/46,978.67 = 10,537.75/x
  3. Step 3: Cross multiply
    31,315.87x = 46,978.67 × 10,537.75
  4. Step 4: Simplify right side
    31,315.87x = 495,049,479.79
  5. Step 5: Solve for x
    x = 495,049,479.79/31,315.87
  6. Step 6: Final answer
    x = 15,808.26

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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.