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Finding the Fourth Proportional to 6,424.64, 9,638.32 and 2,264.48

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Solution

The fourth proportional to 6,424.64, 9,638.32 and 2,264.48 is: 3,397.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,424.64 : 9,638.32 = 2,264.48 : x
  2. Step 2: Convert to fraction form
    6,424.64/9,638.32 = 2,264.48/x
  3. Step 3: Cross multiply
    6,424.64x = 9,638.32 × 2,264.48
  4. Step 4: Simplify right side
    6,424.64x = 21,825,782.87
  5. Step 5: Solve for x
    x = 21,825,782.87/6,424.64
  6. Step 6: Final answer
    x = 3,397.20

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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.