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Finding the Fourth Proportional to 2,458.85, 3,688.32 and 727.47

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Solution

The fourth proportional to 2,458.85, 3,688.32 and 727.47 is: 1,091.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.85 : 3,688.32 = 727.47 : x
  2. Step 2: Convert to fraction form
    2,458.85/3,688.32 = 727.47/x
  3. Step 3: Cross multiply
    2,458.85x = 3,688.32 × 727.47
  4. Step 4: Simplify right side
    2,458.85x = 2,683,138.51
  5. Step 5: Solve for x
    x = 2,683,138.51/2,458.85
  6. Step 6: Final answer
    x = 1,091.22

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1.5x scale

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.