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Finding the Fourth Proportional to 19,893.12, 27,441.04 and 12,428.16

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Solution

The fourth proportional to 19,893.12, 27,441.04 and 12,428.16 is: 17,143.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,893.12 : 27,441.04 = 12,428.16 : x
  2. Step 2: Convert to fraction form
    19,893.12/27,441.04 = 12,428.16/x
  3. Step 3: Cross multiply
    19,893.12x = 27,441.04 × 12,428.16
  4. Step 4: Simplify right side
    19,893.12x = 341,041,635.69
  5. Step 5: Solve for x
    x = 341,041,635.69/19,893.12
  6. Step 6: Final answer
    x = 17,143.70

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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.