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Finding the Fourth Proportional to 4,287.64, 5,916.16 and 2,399.28

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Solution

The fourth proportional to 4,287.64, 5,916.16 and 2,399.28 is: 3,310.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,287.64 : 5,916.16 = 2,399.28 : x
  2. Step 2: Convert to fraction form
    4,287.64/5,916.16 = 2,399.28/x
  3. Step 3: Cross multiply
    4,287.64x = 5,916.16 × 2,399.28
  4. Step 4: Simplify right side
    4,287.64x = 14,194,524.36
  5. Step 5: Solve for x
    x = 14,194,524.36/4,287.64
  6. Step 6: Final answer
    x = 3,310.57

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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.