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Finding the Fourth Proportional to 6,488, 8,953.44 and 3,544

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Solution

The fourth proportional to 6,488, 8,953.44 and 3,544 is: 4,890.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,488 : 8,953.44 = 3,544 : x
  2. Step 2: Convert to fraction form
    6,488/8,953.44 = 3,544/x
  3. Step 3: Cross multiply
    6,488x = 8,953.44 × 3,544
  4. Step 4: Simplify right side
    6,488x = 31,730,991.36
  5. Step 5: Solve for x
    x = 31,730,991.36/6,488
  6. Step 6: Final answer
    x = 4,890.72

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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.