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Finding the Fourth Proportional to 2,945, 4,406.16 and 2,923.94

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Solution

The fourth proportional to 2,945, 4,406.16 and 2,923.94 is: 4,374.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,945 : 4,406.16 = 2,923.94 : x
  2. Step 2: Convert to fraction form
    2,945/4,406.16 = 2,923.94/x
  3. Step 3: Cross multiply
    2,945x = 4,406.16 × 2,923.94
  4. Step 4: Simplify right side
    2,945x = 12,883,347.47
  5. Step 5: Solve for x
    x = 12,883,347.47/2,945
  6. Step 6: Final answer
    x = 4,374.65

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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.