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Finding the Fourth Proportional to 13,387.84, 20,055.84 and 6,467.20

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Solution

The fourth proportional to 13,387.84, 20,055.84 and 6,467.20 is: 9,688.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,387.84 : 20,055.84 = 6,467.20 : x
  2. Step 2: Convert to fraction form
    13,387.84/20,055.84 = 6,467.20/x
  3. Step 3: Cross multiply
    13,387.84x = 20,055.84 × 6,467.20
  4. Step 4: Simplify right side
    13,387.84x = 129,705,128.45
  5. Step 5: Solve for x
    x = 129,705,128.45/13,387.84
  6. Step 6: Final answer
    x = 9,688.28

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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.