Home / 31,966.98-47,948.49-9,778.62

Finding the Fourth Proportional to 31,966.98, 47,948.49 and 9,778.62

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Solution

The fourth proportional to 31,966.98, 47,948.49 and 9,778.62 is: 14,667.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,966.98 : 47,948.49 = 9,778.62 : x
  2. Step 2: Convert to fraction form
    31,966.98/47,948.49 = 9,778.62/x
  3. Step 3: Cross multiply
    31,966.98x = 47,948.49 × 9,778.62
  4. Step 4: Simplify right side
    31,966.98x = 468,870,063.28
  5. Step 5: Solve for x
    x = 468,870,063.28/31,966.98
  6. Step 6: Final answer
    x = 14,667.32

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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.