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Finding the Fourth Proportional to 10,185.53, 15,285.08 and 4,186.53

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Solution

The fourth proportional to 10,185.53, 15,285.08 and 4,186.53 is: 6,282.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,185.53 : 15,285.08 = 4,186.53 : x
  2. Step 2: Convert to fraction form
    10,185.53/15,285.08 = 4,186.53/x
  3. Step 3: Cross multiply
    10,185.53x = 15,285.08 × 4,186.53
  4. Step 4: Simplify right side
    10,185.53x = 63,991,386.83
  5. Step 5: Solve for x
    x = 63,991,386.83/10,185.53
  6. Step 6: Final answer
    x = 6,282.58

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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.