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Finding the Fourth Proportional to 2,460, 3,395.32 and 1,622.06

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Solution

The fourth proportional to 2,460, 3,395.32 and 1,622.06 is: 2,238.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,460 : 3,395.32 = 1,622.06 : x
  2. Step 2: Convert to fraction form
    2,460/3,395.32 = 1,622.06/x
  3. Step 3: Cross multiply
    2,460x = 3,395.32 × 1,622.06
  4. Step 4: Simplify right side
    2,460x = 5,507,412.76
  5. Step 5: Solve for x
    x = 5,507,412.76/2,460
  6. Step 6: Final answer
    x = 2,238.79

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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.