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Finding the Fourth Proportional to 13,901.84, 19,185 and 7,614.56

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Solution

The fourth proportional to 13,901.84, 19,185 and 7,614.56 is: 10,508.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,901.84 : 19,185 = 7,614.56 : x
  2. Step 2: Convert to fraction form
    13,901.84/19,185 = 7,614.56/x
  3. Step 3: Cross multiply
    13,901.84x = 19,185 × 7,614.56
  4. Step 4: Simplify right side
    13,901.84x = 146,085,333.60
  5. Step 5: Solve for x
    x = 146,085,333.60/13,901.84
  6. Step 6: Final answer
    x = 10,508.35

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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.