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Finding the Fourth Proportional to 3,368.84, 5,053.42 and 1,289.02

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Solution

The fourth proportional to 3,368.84, 5,053.42 and 1,289.02 is: 1,933.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,368.84 : 5,053.42 = 1,289.02 : x
  2. Step 2: Convert to fraction form
    3,368.84/5,053.42 = 1,289.02/x
  3. Step 3: Cross multiply
    3,368.84x = 5,053.42 × 1,289.02
  4. Step 4: Simplify right side
    3,368.84x = 6,513,959.45
  5. Step 5: Solve for x
    x = 6,513,959.45/3,368.84
  6. Step 6: Final answer
    x = 1,933.59

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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.