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Finding the Fourth Proportional to 13,643.30, 18,827.56 and 7,674.97

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Solution

The fourth proportional to 13,643.30, 18,827.56 and 7,674.97 is: 10,591.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,643.30 : 18,827.56 = 7,674.97 : x
  2. Step 2: Convert to fraction form
    13,643.30/18,827.56 = 7,674.97/x
  3. Step 3: Cross multiply
    13,643.30x = 18,827.56 × 7,674.97
  4. Step 4: Simplify right side
    13,643.30x = 144,500,958.17
  5. Step 5: Solve for x
    x = 144,500,958.17/13,643.30
  6. Step 6: Final answer
    x = 10,591.35

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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.