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Finding the Fourth Proportional to 4,220.64, 5,824.08 and 3,338.64

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Solution

The fourth proportional to 4,220.64, 5,824.08 and 3,338.64 is: 4,607.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,220.64 : 5,824.08 = 3,338.64 : x
  2. Step 2: Convert to fraction form
    4,220.64/5,824.08 = 3,338.64/x
  3. Step 3: Cross multiply
    4,220.64x = 5,824.08 × 3,338.64
  4. Step 4: Simplify right side
    4,220.64x = 19,444,506.45
  5. Step 5: Solve for x
    x = 19,444,506.45/4,220.64
  6. Step 6: Final answer
    x = 4,607.00

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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.