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Finding the Fourth Proportional to 5,329.78, 7,985.10 and 3,137.32

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Solution

The fourth proportional to 5,329.78, 7,985.10 and 3,137.32 is: 4,700.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,329.78 : 7,985.10 = 3,137.32 : x
  2. Step 2: Convert to fraction form
    5,329.78/7,985.10 = 3,137.32/x
  3. Step 3: Cross multiply
    5,329.78x = 7,985.10 × 3,137.32
  4. Step 4: Simplify right side
    5,329.78x = 25,051,773.11
  5. Step 5: Solve for x
    x = 25,051,773.11/5,329.78
  6. Step 6: Final answer
    x = 4,700.34

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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.