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Finding the Fourth Proportional to 8,634.60, 12,946.23 and 4,254.93

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Solution

The fourth proportional to 8,634.60, 12,946.23 and 4,254.93 is: 6,379.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,634.60 : 12,946.23 = 4,254.93 : x
  2. Step 2: Convert to fraction form
    8,634.60/12,946.23 = 4,254.93/x
  3. Step 3: Cross multiply
    8,634.60x = 12,946.23 × 4,254.93
  4. Step 4: Simplify right side
    8,634.60x = 55,085,302.41
  5. Step 5: Solve for x
    x = 55,085,302.41/8,634.60
  6. Step 6: Final answer
    x = 6,379.60

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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.