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Finding the Fourth Proportional to 2,913.78, 4,368.03 and 1,453.38

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Solution

The fourth proportional to 2,913.78, 4,368.03 and 1,453.38 is: 2,178.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,913.78 : 4,368.03 = 1,453.38 : x
  2. Step 2: Convert to fraction form
    2,913.78/4,368.03 = 1,453.38/x
  3. Step 3: Cross multiply
    2,913.78x = 4,368.03 × 1,453.38
  4. Step 4: Simplify right side
    2,913.78x = 6,348,407.44
  5. Step 5: Solve for x
    x = 6,348,407.44/2,913.78
  6. Step 6: Final answer
    x = 2,178.75

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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.