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Finding the Fourth Proportional to 19,685, 27,165.84 and 11,302.04

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Solution

The fourth proportional to 19,685, 27,165.84 and 11,302.04 is: 15,597.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,685 : 27,165.84 = 11,302.04 : x
  2. Step 2: Convert to fraction form
    19,685/27,165.84 = 11,302.04/x
  3. Step 3: Cross multiply
    19,685x = 27,165.84 × 11,302.04
  4. Step 4: Simplify right side
    19,685x = 307,029,410.31
  5. Step 5: Solve for x
    x = 307,029,410.31/19,685
  6. Step 6: Final answer
    x = 15,597.13

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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.