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Finding the Fourth Proportional to 2,975.02, 4,105.47 and 1,648.71

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Solution

The fourth proportional to 2,975.02, 4,105.47 and 1,648.71 is: 2,275.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,975.02 : 4,105.47 = 1,648.71 : x
  2. Step 2: Convert to fraction form
    2,975.02/4,105.47 = 1,648.71/x
  3. Step 3: Cross multiply
    2,975.02x = 4,105.47 × 1,648.71
  4. Step 4: Simplify right side
    2,975.02x = 6,768,738.66
  5. Step 5: Solve for x
    x = 6,768,738.66/2,975.02
  6. Step 6: Final answer
    x = 2,275.19

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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.