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Finding the Fourth Proportional to 6,101.64, 8,420.20 and 3,307.16

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Solution

The fourth proportional to 6,101.64, 8,420.20 and 3,307.16 is: 4,563.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,101.64 : 8,420.20 = 3,307.16 : x
  2. Step 2: Convert to fraction form
    6,101.64/8,420.20 = 3,307.16/x
  3. Step 3: Cross multiply
    6,101.64x = 8,420.20 × 3,307.16
  4. Step 4: Simplify right side
    6,101.64x = 27,846,948.63
  5. Step 5: Solve for x
    x = 27,846,948.63/6,101.64
  6. Step 6: Final answer
    x = 4,563.85

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1.5x scale

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.