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Finding the Fourth Proportional to 9,895.31, 13,651.80 and 6,494.21

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Solution

The fourth proportional to 9,895.31, 13,651.80 and 6,494.21 is: 8,959.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,895.31 : 13,651.80 = 6,494.21 : x
  2. Step 2: Convert to fraction form
    9,895.31/13,651.80 = 6,494.21/x
  3. Step 3: Cross multiply
    9,895.31x = 13,651.80 × 6,494.21
  4. Step 4: Simplify right side
    9,895.31x = 88,657,656.08
  5. Step 5: Solve for x
    x = 88,657,656.08/9,895.31
  6. Step 6: Final answer
    x = 8,959.56

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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.