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Finding the Fourth Proportional to 13,409.51, 20,114.81 and 6,385.91

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Solution

The fourth proportional to 13,409.51, 20,114.81 and 6,385.91 is: 9,579.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,409.51 : 20,114.81 = 6,385.91 : x
  2. Step 2: Convert to fraction form
    13,409.51/20,114.81 = 6,385.91/x
  3. Step 3: Cross multiply
    13,409.51x = 20,114.81 × 6,385.91
  4. Step 4: Simplify right side
    13,409.51x = 128,451,334.40
  5. Step 5: Solve for x
    x = 128,451,334.40/13,409.51
  6. Step 6: Final answer
    x = 9,579.12

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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.