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Finding the Fourth Proportional to 3,368.52, 5,051.56 and 1,420.87

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Solution

The fourth proportional to 3,368.52, 5,051.56 and 1,420.87 is: 2,130.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,368.52 : 5,051.56 = 1,420.87 : x
  2. Step 2: Convert to fraction form
    3,368.52/5,051.56 = 1,420.87/x
  3. Step 3: Cross multiply
    3,368.52x = 5,051.56 × 1,420.87
  4. Step 4: Simplify right side
    3,368.52x = 7,177,610.06
  5. Step 5: Solve for x
    x = 7,177,610.06/3,368.52
  6. Step 6: Final answer
    x = 2,130.79

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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.