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Finding the Fourth Proportional to 9,643.64, 13,296.24 and 8,127.32

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Solution

The fourth proportional to 9,643.64, 13,296.24 and 8,127.32 is: 11,205.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,643.64 : 13,296.24 = 8,127.32 : x
  2. Step 2: Convert to fraction form
    9,643.64/13,296.24 = 8,127.32/x
  3. Step 3: Cross multiply
    9,643.64x = 13,296.24 × 8,127.32
  4. Step 4: Simplify right side
    9,643.64x = 108,062,797.28
  5. Step 5: Solve for x
    x = 108,062,797.28/9,643.64
  6. Step 6: Final answer
    x = 11,205.60

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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.