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Finding the Fourth Proportional to 21,773.76, 30,047.78 and 12,342.92

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Solution

The fourth proportional to 21,773.76, 30,047.78 and 12,342.92 is: 17,033.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,773.76 : 30,047.78 = 12,342.92 : x
  2. Step 2: Convert to fraction form
    21,773.76/30,047.78 = 12,342.92/x
  3. Step 3: Cross multiply
    21,773.76x = 30,047.78 × 12,342.92
  4. Step 4: Simplify right side
    21,773.76x = 370,877,344.72
  5. Step 5: Solve for x
    x = 370,877,344.72/21,773.76
  6. Step 6: Final answer
    x = 17,033.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.