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Finding the Fourth Proportional to 3,365.68, 5,051.36 and 1,419.28

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Solution

The fourth proportional to 3,365.68, 5,051.36 and 1,419.28 is: 2,130.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,365.68 : 5,051.36 = 1,419.28 : x
  2. Step 2: Convert to fraction form
    3,365.68/5,051.36 = 1,419.28/x
  3. Step 3: Cross multiply
    3,365.68x = 5,051.36 × 1,419.28
  4. Step 4: Simplify right side
    3,365.68x = 7,169,294.22
  5. Step 5: Solve for x
    x = 7,169,294.22/3,365.68
  6. Step 6: Final answer
    x = 2,130.12

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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.