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Finding the Fourth Proportional to 20,658, 28,510.47 and 12,274.50

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Solution

The fourth proportional to 20,658, 28,510.47 and 12,274.50 is: 16,940.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,658 : 28,510.47 = 12,274.50 : x
  2. Step 2: Convert to fraction form
    20,658/28,510.47 = 12,274.50/x
  3. Step 3: Cross multiply
    20,658x = 28,510.47 × 12,274.50
  4. Step 4: Simplify right side
    20,658x = 349,951,764.02
  5. Step 5: Solve for x
    x = 349,951,764.02/20,658
  6. Step 6: Final answer
    x = 16,940.25

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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.