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Finding the Fourth Proportional to 13,137.84, 19,670.16 and 10,221.84

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Solution

The fourth proportional to 13,137.84, 19,670.16 and 10,221.84 is: 15,304.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,137.84 : 19,670.16 = 10,221.84 : x
  2. Step 2: Convert to fraction form
    13,137.84/19,670.16 = 10,221.84/x
  3. Step 3: Cross multiply
    13,137.84x = 19,670.16 × 10,221.84
  4. Step 4: Simplify right side
    13,137.84x = 201,065,228.29
  5. Step 5: Solve for x
    x = 201,065,228.29/13,137.84
  6. Step 6: Final answer
    x = 15,304.28

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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.