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Finding the Fourth Proportional to 13,762.84, 18,993.66 and 8,387.32

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Solution

The fourth proportional to 13,762.84, 18,993.66 and 8,387.32 is: 11,575.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,762.84 : 18,993.66 = 8,387.32 : x
  2. Step 2: Convert to fraction form
    13,762.84/18,993.66 = 8,387.32/x
  3. Step 3: Cross multiply
    13,762.84x = 18,993.66 × 8,387.32
  4. Step 4: Simplify right side
    13,762.84x = 159,305,904.39
  5. Step 5: Solve for x
    x = 159,305,904.39/13,762.84
  6. Step 6: Final answer
    x = 11,575.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.