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Finding the Fourth Proportional to 20,342.51, 28,076 and 13,963.84

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Solution

The fourth proportional to 20,342.51, 28,076 and 13,963.84 is: 19,272.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,342.51 : 28,076 = 13,963.84 : x
  2. Step 2: Convert to fraction form
    20,342.51/28,076 = 13,963.84/x
  3. Step 3: Cross multiply
    20,342.51x = 28,076 × 13,963.84
  4. Step 4: Simplify right side
    20,342.51x = 392,048,771.84
  5. Step 5: Solve for x
    x = 392,048,771.84/20,342.51
  6. Step 6: Final answer
    x = 19,272.39

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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.