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Finding the Fourth Proportional to 8,594.50, 12,897.51 and 3,122.50

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Solution

The fourth proportional to 8,594.50, 12,897.51 and 3,122.50 is: 4,685.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,594.50 : 12,897.51 = 3,122.50 : x
  2. Step 2: Convert to fraction form
    8,594.50/12,897.51 = 3,122.50/x
  3. Step 3: Cross multiply
    8,594.50x = 12,897.51 × 3,122.50
  4. Step 4: Simplify right side
    8,594.50x = 40,272,474.98
  5. Step 5: Solve for x
    x = 40,272,474.98/8,594.50
  6. Step 6: Final answer
    x = 4,685.84

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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.