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Finding the Fourth Proportional to 2,912.89, 4,016.98 and 1,916.93

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Solution

The fourth proportional to 2,912.89, 4,016.98 and 1,916.93 is: 2,643.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912.89 : 4,016.98 = 1,916.93 : x
  2. Step 2: Convert to fraction form
    2,912.89/4,016.98 = 1,916.93/x
  3. Step 3: Cross multiply
    2,912.89x = 4,016.98 × 1,916.93
  4. Step 4: Simplify right side
    2,912.89x = 7,700,269.47
  5. Step 5: Solve for x
    x = 7,700,269.47/2,912.89
  6. Step 6: Final answer
    x = 2,643.52

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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.