Home / 31,965.12-47,947.64-9,778.48

Finding the Fourth Proportional to 31,965.12, 47,947.64 and 9,778.48

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Solution

The fourth proportional to 31,965.12, 47,947.64 and 9,778.48 is: 14,667.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,965.12 : 47,947.64 = 9,778.48 : x
  2. Step 2: Convert to fraction form
    31,965.12/47,947.64 = 9,778.48/x
  3. Step 3: Cross multiply
    31,965.12x = 47,947.64 × 9,778.48
  4. Step 4: Simplify right side
    31,965.12x = 468,855,038.79
  5. Step 5: Solve for x
    x = 468,855,038.79/31,965.12
  6. Step 6: Final answer
    x = 14,667.71

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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.