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Finding the Fourth Proportional to 10,185, 15,277.59 and 4,029

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Solution

The fourth proportional to 10,185, 15,277.59 and 4,029 is: 6,043.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,185 : 15,277.59 = 4,029 : x
  2. Step 2: Convert to fraction form
    10,185/15,277.59 = 4,029/x
  3. Step 3: Cross multiply
    10,185x = 15,277.59 × 4,029
  4. Step 4: Simplify right side
    10,185x = 61,553,410.11
  5. Step 5: Solve for x
    x = 61,553,410.11/10,185
  6. Step 6: Final answer
    x = 6,043.54

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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.