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Finding the Fourth Proportional to 3,898.47, 5,372.93 and 2,952

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Solution

The fourth proportional to 3,898.47, 5,372.93 and 2,952 is: 4,068.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898.47 : 5,372.93 = 2,952 : x
  2. Step 2: Convert to fraction form
    3,898.47/5,372.93 = 2,952/x
  3. Step 3: Cross multiply
    3,898.47x = 5,372.93 × 2,952
  4. Step 4: Simplify right side
    3,898.47x = 15,860,889.36
  5. Step 5: Solve for x
    x = 15,860,889.36/3,898.47
  6. Step 6: Final answer
    x = 4,068.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.