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Finding the Fourth Proportional to 3,840.76, 5,759.70 and 1,243

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Solution

The fourth proportional to 3,840.76, 5,759.70 and 1,243 is: 1,864.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.76 : 5,759.70 = 1,243 : x
  2. Step 2: Convert to fraction form
    3,840.76/5,759.70 = 1,243/x
  3. Step 3: Cross multiply
    3,840.76x = 5,759.70 × 1,243
  4. Step 4: Simplify right side
    3,840.76x = 7,159,307.10
  5. Step 5: Solve for x
    x = 7,159,307.10/3,840.76
  6. Step 6: Final answer
    x = 1,864.03

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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.