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Finding the Fourth Proportional to 13,646.28, 18,825.66 and 8,340

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Solution

The fourth proportional to 13,646.28, 18,825.66 and 8,340 is: 11,505.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,646.28 : 18,825.66 = 8,340 : x
  2. Step 2: Convert to fraction form
    13,646.28/18,825.66 = 8,340/x
  3. Step 3: Cross multiply
    13,646.28x = 18,825.66 × 8,340
  4. Step 4: Simplify right side
    13,646.28x = 157,006,004.40
  5. Step 5: Solve for x
    x = 157,006,004.40/13,646.28
  6. Step 6: Final answer
    x = 11,505.41

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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.