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Finding the Fourth Proportional to 2,301, 3,174.40 and 1,801.64

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Solution

The fourth proportional to 2,301, 3,174.40 and 1,801.64 is: 2,485.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301 : 3,174.40 = 1,801.64 : x
  2. Step 2: Convert to fraction form
    2,301/3,174.40 = 1,801.64/x
  3. Step 3: Cross multiply
    2,301x = 3,174.40 × 1,801.64
  4. Step 4: Simplify right side
    2,301x = 5,719,126.02
  5. Step 5: Solve for x
    x = 5,719,126.02/2,301
  6. Step 6: Final answer
    x = 2,485.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.