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Finding the Fourth Proportional to 2,321, 3,202.58 and 1,534.64

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Solution

The fourth proportional to 2,321, 3,202.58 and 1,534.64 is: 2,117.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321 : 3,202.58 = 1,534.64 : x
  2. Step 2: Convert to fraction form
    2,321/3,202.58 = 1,534.64/x
  3. Step 3: Cross multiply
    2,321x = 3,202.58 × 1,534.64
  4. Step 4: Simplify right side
    2,321x = 4,914,807.37
  5. Step 5: Solve for x
    x = 4,914,807.37/2,321
  6. Step 6: Final answer
    x = 2,117.54

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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.