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Finding the Fourth Proportional to 2,457, 3,390.30 and 1,448.12

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Solution

The fourth proportional to 2,457, 3,390.30 and 1,448.12 is: 1,998.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457 : 3,390.30 = 1,448.12 : x
  2. Step 2: Convert to fraction form
    2,457/3,390.30 = 1,448.12/x
  3. Step 3: Cross multiply
    2,457x = 3,390.30 × 1,448.12
  4. Step 4: Simplify right side
    2,457x = 4,909,561.24
  5. Step 5: Solve for x
    x = 4,909,561.24/2,457
  6. Step 6: Final answer
    x = 1,998.19

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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.