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Finding the Fourth Proportional to 9,807.97, 13,528.15 and 6,449.71

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Solution

The fourth proportional to 9,807.97, 13,528.15 and 6,449.71 is: 8,896.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.97 : 13,528.15 = 6,449.71 : x
  2. Step 2: Convert to fraction form
    9,807.97/13,528.15 = 6,449.71/x
  3. Step 3: Cross multiply
    9,807.97x = 13,528.15 × 6,449.71
  4. Step 4: Simplify right side
    9,807.97x = 87,252,618.58
  5. Step 5: Solve for x
    x = 87,252,618.58/9,807.97
  6. Step 6: Final answer
    x = 8,896.10

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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.