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Finding the Fourth Proportional to 6,487, 8,953.46 and 4,128.64

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Solution

The fourth proportional to 6,487, 8,953.46 and 4,128.64 is: 5,698.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,487 : 8,953.46 = 4,128.64 : x
  2. Step 2: Convert to fraction form
    6,487/8,953.46 = 4,128.64/x
  3. Step 3: Cross multiply
    6,487x = 8,953.46 × 4,128.64
  4. Step 4: Simplify right side
    6,487x = 36,965,613.09
  5. Step 5: Solve for x
    x = 36,965,613.09/6,487
  6. Step 6: Final answer
    x = 5,698.41

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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.