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Finding the Fourth Proportional to 13,969.78, 20,952.24 and 5,203.18

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Solution

The fourth proportional to 13,969.78, 20,952.24 and 5,203.18 is: 7,803.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,969.78 : 20,952.24 = 5,203.18 : x
  2. Step 2: Convert to fraction form
    13,969.78/20,952.24 = 5,203.18/x
  3. Step 3: Cross multiply
    13,969.78x = 20,952.24 × 5,203.18
  4. Step 4: Simplify right side
    13,969.78x = 109,018,276.12
  5. Step 5: Solve for x
    x = 109,018,276.12/13,969.78
  6. Step 6: Final answer
    x = 7,803.86

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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.