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Finding the Fourth Proportional to 11,855.78, 17,784.56 and 3,535.16

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Solution

The fourth proportional to 11,855.78, 17,784.56 and 3,535.16 is: 5,303.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,855.78 : 17,784.56 = 3,535.16 : x
  2. Step 2: Convert to fraction form
    11,855.78/17,784.56 = 3,535.16/x
  3. Step 3: Cross multiply
    11,855.78x = 17,784.56 × 3,535.16
  4. Step 4: Simplify right side
    11,855.78x = 62,871,265.13
  5. Step 5: Solve for x
    x = 62,871,265.13/11,855.78
  6. Step 6: Final answer
    x = 5,303.01

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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.