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Finding the Fourth Proportional to 31,477.76, 47,220.96 and 9,292.76

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Solution

The fourth proportional to 31,477.76, 47,220.96 and 9,292.76 is: 13,940.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,477.76 : 47,220.96 = 9,292.76 : x
  2. Step 2: Convert to fraction form
    31,477.76/47,220.96 = 9,292.76/x
  3. Step 3: Cross multiply
    31,477.76x = 47,220.96 × 9,292.76
  4. Step 4: Simplify right side
    31,477.76x = 438,813,048.25
  5. Step 5: Solve for x
    x = 438,813,048.25/31,477.76
  6. Step 6: Final answer
    x = 13,940.42

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1.5x scale

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.