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Finding the Fourth Proportional to 2,459.36, 3,686.31 and 898.09

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Solution

The fourth proportional to 2,459.36, 3,686.31 and 898.09 is: 1,346.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.36 : 3,686.31 = 898.09 : x
  2. Step 2: Convert to fraction form
    2,459.36/3,686.31 = 898.09/x
  3. Step 3: Cross multiply
    2,459.36x = 3,686.31 × 898.09
  4. Step 4: Simplify right side
    2,459.36x = 3,310,619.72
  5. Step 5: Solve for x
    x = 3,310,619.72/2,459.36
  6. Step 6: Final answer
    x = 1,346.13

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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.