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Finding the Fourth Proportional to 12,884.92, 19,320.06 and 11,784.16

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Solution

The fourth proportional to 12,884.92, 19,320.06 and 11,784.16 is: 17,669.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,884.92 : 19,320.06 = 11,784.16 : x
  2. Step 2: Convert to fraction form
    12,884.92/19,320.06 = 11,784.16/x
  3. Step 3: Cross multiply
    12,884.92x = 19,320.06 × 11,784.16
  4. Step 4: Simplify right side
    12,884.92x = 227,670,678.25
  5. Step 5: Solve for x
    x = 227,670,678.25/12,884.92
  6. Step 6: Final answer
    x = 17,669.55

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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.