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Finding the Fourth Proportional to 3,669.52, 5,506.04 and 2,130.64

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Solution

The fourth proportional to 3,669.52, 5,506.04 and 2,130.64 is: 3,196.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669.52 : 5,506.04 = 2,130.64 : x
  2. Step 2: Convert to fraction form
    3,669.52/5,506.04 = 2,130.64/x
  3. Step 3: Cross multiply
    3,669.52x = 5,506.04 × 2,130.64
  4. Step 4: Simplify right side
    3,669.52x = 11,731,389.07
  5. Step 5: Solve for x
    x = 11,731,389.07/3,669.52
  6. Step 6: Final answer
    x = 3,196.98

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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.