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Finding the Fourth Proportional to 3,523.76, 5,285.64 and 1,333.16

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Solution

The fourth proportional to 3,523.76, 5,285.64 and 1,333.16 is: 1,999.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,523.76 : 5,285.64 = 1,333.16 : x
  2. Step 2: Convert to fraction form
    3,523.76/5,285.64 = 1,333.16/x
  3. Step 3: Cross multiply
    3,523.76x = 5,285.64 × 1,333.16
  4. Step 4: Simplify right side
    3,523.76x = 7,046,603.82
  5. Step 5: Solve for x
    x = 7,046,603.82/3,523.76
  6. Step 6: Final answer
    x = 1,999.74

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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.