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Finding the Fourth Proportional to 13,690.94, 18,893.50 and 7,403.31

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Solution

The fourth proportional to 13,690.94, 18,893.50 and 7,403.31 is: 10,216.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,690.94 : 18,893.50 = 7,403.31 : x
  2. Step 2: Convert to fraction form
    13,690.94/18,893.50 = 7,403.31/x
  3. Step 3: Cross multiply
    13,690.94x = 18,893.50 × 7,403.31
  4. Step 4: Simplify right side
    13,690.94x = 139,874,437.49
  5. Step 5: Solve for x
    x = 139,874,437.49/13,690.94
  6. Step 6: Final answer
    x = 10,216.57

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1.5x scale

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.