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Finding the Fourth Proportional to 3,164.50, 4,746.81 and 1,315.09

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Solution

The fourth proportional to 3,164.50, 4,746.81 and 1,315.09 is: 1,972.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.50 : 4,746.81 = 1,315.09 : x
  2. Step 2: Convert to fraction form
    3,164.50/4,746.81 = 1,315.09/x
  3. Step 3: Cross multiply
    3,164.50x = 4,746.81 × 1,315.09
  4. Step 4: Simplify right side
    3,164.50x = 6,242,458.63
  5. Step 5: Solve for x
    x = 6,242,458.63/3,164.50
  6. Step 6: Final answer
    x = 1,972.66

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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.