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Finding the Fourth Proportional to 6,495, 8,963.10 and 4,011

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Solution

The fourth proportional to 6,495, 8,963.10 and 4,011 is: 5,535.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,495 : 8,963.10 = 4,011 : x
  2. Step 2: Convert to fraction form
    6,495/8,963.10 = 4,011/x
  3. Step 3: Cross multiply
    6,495x = 8,963.10 × 4,011
  4. Step 4: Simplify right side
    6,495x = 35,950,994.10
  5. Step 5: Solve for x
    x = 35,950,994.10/6,495
  6. Step 6: Final answer
    x = 5,535.18

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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.