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Finding the Fourth Proportional to 8,490.10, 11,703.96 and 5,964.64

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Solution

The fourth proportional to 8,490.10, 11,703.96 and 5,964.64 is: 8,222.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,490.10 : 11,703.96 = 5,964.64 : x
  2. Step 2: Convert to fraction form
    8,490.10/11,703.96 = 5,964.64/x
  3. Step 3: Cross multiply
    8,490.10x = 11,703.96 × 5,964.64
  4. Step 4: Simplify right side
    8,490.10x = 69,809,907.97
  5. Step 5: Solve for x
    x = 69,809,907.97/8,490.10
  6. Step 6: Final answer
    x = 8,222.51

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1.5x scale

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.