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Finding the Fourth Proportional to 4,314, 6,439.52 and 3,701.64

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Solution

The fourth proportional to 4,314, 6,439.52 and 3,701.64 is: 5,525.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,314 : 6,439.52 = 3,701.64 : x
  2. Step 2: Convert to fraction form
    4,314/6,439.52 = 3,701.64/x
  3. Step 3: Cross multiply
    4,314x = 6,439.52 × 3,701.64
  4. Step 4: Simplify right side
    4,314x = 23,836,794.07
  5. Step 5: Solve for x
    x = 23,836,794.07/4,314
  6. Step 6: Final answer
    x = 5,525.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.