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Finding the Fourth Proportional to 13,784.92, 19,028.94 and 9,314.68

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Solution

The fourth proportional to 13,784.92, 19,028.94 and 9,314.68 is: 12,858.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,784.92 : 19,028.94 = 9,314.68 : x
  2. Step 2: Convert to fraction form
    13,784.92/19,028.94 = 9,314.68/x
  3. Step 3: Cross multiply
    13,784.92x = 19,028.94 × 9,314.68
  4. Step 4: Simplify right side
    13,784.92x = 177,248,486.84
  5. Step 5: Solve for x
    x = 177,248,486.84/13,784.92
  6. Step 6: Final answer
    x = 12,858.14

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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.