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Finding the Fourth Proportional to 3,886.53, 5,829.75 and 1,420.47

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Solution

The fourth proportional to 3,886.53, 5,829.75 and 1,420.47 is: 2,130.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.53 : 5,829.75 = 1,420.47 : x
  2. Step 2: Convert to fraction form
    3,886.53/5,829.75 = 1,420.47/x
  3. Step 3: Cross multiply
    3,886.53x = 5,829.75 × 1,420.47
  4. Step 4: Simplify right side
    3,886.53x = 8,280,984.98
  5. Step 5: Solve for x
    x = 8,280,984.98/3,886.53
  6. Step 6: Final answer
    x = 2,130.69

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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.