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Finding the Fourth Proportional to 6,460.90, 8,916.10 and 3,774

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Solution

The fourth proportional to 6,460.90, 8,916.10 and 3,774 is: 5,208.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,460.90 : 8,916.10 = 3,774 : x
  2. Step 2: Convert to fraction form
    6,460.90/8,916.10 = 3,774/x
  3. Step 3: Cross multiply
    6,460.90x = 8,916.10 × 3,774
  4. Step 4: Simplify right side
    6,460.90x = 33,649,361.40
  5. Step 5: Solve for x
    x = 33,649,361.40/6,460.90
  6. Step 6: Final answer
    x = 5,208.15

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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.