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Finding the Fourth Proportional to 31,102.87, 46,647.42 and 8,916.16

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Solution

The fourth proportional to 31,102.87, 46,647.42 and 8,916.16 is: 13,372.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,102.87 : 46,647.42 = 8,916.16 : x
  2. Step 2: Convert to fraction form
    31,102.87/46,647.42 = 8,916.16/x
  3. Step 3: Cross multiply
    31,102.87x = 46,647.42 × 8,916.16
  4. Step 4: Simplify right side
    31,102.87x = 415,915,860.31
  5. Step 5: Solve for x
    x = 415,915,860.31/31,102.87
  6. Step 6: Final answer
    x = 13,372.27

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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.