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Finding the Fourth Proportional to 13,798.74, 20,701.35 and 3,938.16

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Solution

The fourth proportional to 13,798.74, 20,701.35 and 3,938.16 is: 5,908.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,798.74 : 20,701.35 = 3,938.16 : x
  2. Step 2: Convert to fraction form
    13,798.74/20,701.35 = 3,938.16/x
  3. Step 3: Cross multiply
    13,798.74x = 20,701.35 × 3,938.16
  4. Step 4: Simplify right side
    13,798.74x = 81,525,228.52
  5. Step 5: Solve for x
    x = 81,525,228.52/13,798.74
  6. Step 6: Final answer
    x = 5,908.16

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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.