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Finding the Fourth Proportional to 8,684.84, 13,024.50 and 3,137.45

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Solution

The fourth proportional to 8,684.84, 13,024.50 and 3,137.45 is: 4,705.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,684.84 : 13,024.50 = 3,137.45 : x
  2. Step 2: Convert to fraction form
    8,684.84/13,024.50 = 3,137.45/x
  3. Step 3: Cross multiply
    8,684.84x = 13,024.50 × 3,137.45
  4. Step 4: Simplify right side
    8,684.84x = 40,863,652.40
  5. Step 5: Solve for x
    x = 40,863,652.40/8,684.84
  6. Step 6: Final answer
    x = 4,705.17

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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.