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Finding the Fourth Proportional to 13,643.84, 20,465.76 and 3,783.14

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Solution

The fourth proportional to 13,643.84, 20,465.76 and 3,783.14 is: 5,674.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,643.84 : 20,465.76 = 3,783.14 : x
  2. Step 2: Convert to fraction form
    13,643.84/20,465.76 = 3,783.14/x
  3. Step 3: Cross multiply
    13,643.84x = 20,465.76 × 3,783.14
  4. Step 4: Simplify right side
    13,643.84x = 77,424,835.29
  5. Step 5: Solve for x
    x = 77,424,835.29/13,643.84
  6. Step 6: Final answer
    x = 5,674.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.