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Finding the Fourth Proportional to 6,515.64, 8,991.54 and 3,531.42

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Solution

The fourth proportional to 6,515.64, 8,991.54 and 3,531.42 is: 4,873.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,515.64 : 8,991.54 = 3,531.42 : x
  2. Step 2: Convert to fraction form
    6,515.64/8,991.54 = 3,531.42/x
  3. Step 3: Cross multiply
    6,515.64x = 8,991.54 × 3,531.42
  4. Step 4: Simplify right side
    6,515.64x = 31,752,904.19
  5. Step 5: Solve for x
    x = 31,752,904.19/6,515.64
  6. Step 6: Final answer
    x = 4,873.34

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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.