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Finding the Fourth Proportional to 9,466.77, 14,201.88 and 3,917.10

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Solution

The fourth proportional to 9,466.77, 14,201.88 and 3,917.10 is: 5,876.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,466.77 : 14,201.88 = 3,917.10 : x
  2. Step 2: Convert to fraction form
    9,466.77/14,201.88 = 3,917.10/x
  3. Step 3: Cross multiply
    9,466.77x = 14,201.88 × 3,917.10
  4. Step 4: Simplify right side
    9,466.77x = 55,630,184.15
  5. Step 5: Solve for x
    x = 55,630,184.15/9,466.77
  6. Step 6: Final answer
    x = 5,876.36

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1.5x scale

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.