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Finding the Fourth Proportional to 3,578.63, 5,368.21 and 1,270.13

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Solution

The fourth proportional to 3,578.63, 5,368.21 and 1,270.13 is: 1,905.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578.63 : 5,368.21 = 1,270.13 : x
  2. Step 2: Convert to fraction form
    3,578.63/5,368.21 = 1,270.13/x
  3. Step 3: Cross multiply
    3,578.63x = 5,368.21 × 1,270.13
  4. Step 4: Simplify right side
    3,578.63x = 6,818,294.55
  5. Step 5: Solve for x
    x = 6,818,294.55/3,578.63
  6. Step 6: Final answer
    x = 1,905.28

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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.