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Finding the Fourth Proportional to 9,891.49, 13,650.62 and 5,643.24

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Solution

The fourth proportional to 9,891.49, 13,650.62 and 5,643.24 is: 7,787.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,891.49 : 13,650.62 = 5,643.24 : x
  2. Step 2: Convert to fraction form
    9,891.49/13,650.62 = 5,643.24/x
  3. Step 3: Cross multiply
    9,891.49x = 13,650.62 × 5,643.24
  4. Step 4: Simplify right side
    9,891.49x = 77,033,628.34
  5. Step 5: Solve for x
    x = 77,033,628.34/9,891.49
  6. Step 6: Final answer
    x = 7,787.87

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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.