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Finding the Fourth Proportional to 13,977.78, 20,963.14 and 8,357.06

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Solution

The fourth proportional to 13,977.78, 20,963.14 and 8,357.06 is: 12,533.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,977.78 : 20,963.14 = 8,357.06 : x
  2. Step 2: Convert to fraction form
    13,977.78/20,963.14 = 8,357.06/x
  3. Step 3: Cross multiply
    13,977.78x = 20,963.14 × 8,357.06
  4. Step 4: Simplify right side
    13,977.78x = 175,190,218.77
  5. Step 5: Solve for x
    x = 175,190,218.77/13,977.78
  6. Step 6: Final answer
    x = 12,533.48

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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.