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Finding the Fourth Proportional to 6,408.64, 9,606.36 and 4,649.26

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Solution

The fourth proportional to 6,408.64, 9,606.36 and 4,649.26 is: 6,969.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408.64 : 9,606.36 = 4,649.26 : x
  2. Step 2: Convert to fraction form
    6,408.64/9,606.36 = 4,649.26/x
  3. Step 3: Cross multiply
    6,408.64x = 9,606.36 × 4,649.26
  4. Step 4: Simplify right side
    6,408.64x = 44,662,465.29
  5. Step 5: Solve for x
    x = 44,662,465.29/6,408.64
  6. Step 6: Final answer
    x = 6,969.10

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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.