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Finding the Fourth Proportional to 8,913.78, 13,361.85 and 4,225.50

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Solution

The fourth proportional to 8,913.78, 13,361.85 and 4,225.50 is: 6,334.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,913.78 : 13,361.85 = 4,225.50 : x
  2. Step 2: Convert to fraction form
    8,913.78/13,361.85 = 4,225.50/x
  3. Step 3: Cross multiply
    8,913.78x = 13,361.85 × 4,225.50
  4. Step 4: Simplify right side
    8,913.78x = 56,460,497.18
  5. Step 5: Solve for x
    x = 56,460,497.18/8,913.78
  6. Step 6: Final answer
    x = 6,334.07

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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.