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Finding the Fourth Proportional to 13,643.71, 18,827.30 and 7,674.22

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Solution

The fourth proportional to 13,643.71, 18,827.30 and 7,674.22 is: 10,589.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,643.71 : 18,827.30 = 7,674.22 : x
  2. Step 2: Convert to fraction form
    13,643.71/18,827.30 = 7,674.22/x
  3. Step 3: Cross multiply
    13,643.71x = 18,827.30 × 7,674.22
  4. Step 4: Simplify right side
    13,643.71x = 144,484,842.21
  5. Step 5: Solve for x
    x = 144,484,842.21/13,643.71
  6. Step 6: Final answer
    x = 10,589.85

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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.