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Finding the Fourth Proportional to 3,730.31, 5,146.09 and 2,985.31

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Solution

The fourth proportional to 3,730.31, 5,146.09 and 2,985.31 is: 4,118.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,730.31 : 5,146.09 = 2,985.31 : x
  2. Step 2: Convert to fraction form
    3,730.31/5,146.09 = 2,985.31/x
  3. Step 3: Cross multiply
    3,730.31x = 5,146.09 × 2,985.31
  4. Step 4: Simplify right side
    3,730.31x = 15,362,673.94
  5. Step 5: Solve for x
    x = 15,362,673.94/3,730.31
  6. Step 6: Final answer
    x = 4,118.34

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1.5x scale

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.