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Finding the Fourth Proportional to 13,876.31, 20,814.47 and 4,642.31

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Solution

The fourth proportional to 13,876.31, 20,814.47 and 4,642.31 is: 6,963.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,876.31 : 20,814.47 = 4,642.31 : x
  2. Step 2: Convert to fraction form
    13,876.31/20,814.47 = 4,642.31/x
  3. Step 3: Cross multiply
    13,876.31x = 20,814.47 × 4,642.31
  4. Step 4: Simplify right side
    13,876.31x = 96,627,268.46
  5. Step 5: Solve for x
    x = 96,627,268.46/13,876.31
  6. Step 6: Final answer
    x = 6,963.47

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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.