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Finding the Fourth Proportional to 6,464.64, 8,915.76 and 5,283.66

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Solution

The fourth proportional to 6,464.64, 8,915.76 and 5,283.66 is: 7,287.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.64 : 8,915.76 = 5,283.66 : x
  2. Step 2: Convert to fraction form
    6,464.64/8,915.76 = 5,283.66/x
  3. Step 3: Cross multiply
    6,464.64x = 8,915.76 × 5,283.66
  4. Step 4: Simplify right side
    6,464.64x = 47,107,844.48
  5. Step 5: Solve for x
    x = 47,107,844.48/6,464.64
  6. Step 6: Final answer
    x = 7,287.00

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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.