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Finding the Fourth Proportional to 31,670.76, 47,486.94 and 21,799.20

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Solution

The fourth proportional to 31,670.76, 47,486.94 and 21,799.20 is: 32,685.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,670.76 : 47,486.94 = 21,799.20 : x
  2. Step 2: Convert to fraction form
    31,670.76/47,486.94 = 21,799.20/x
  3. Step 3: Cross multiply
    31,670.76x = 47,486.94 × 21,799.20
  4. Step 4: Simplify right side
    31,670.76x = 1,035,177,302.45
  5. Step 5: Solve for x
    x = 1,035,177,302.45/31,670.76
  6. Step 6: Final answer
    x = 32,685.58

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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.