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Finding the Fourth Proportional to 13,723, 18,937.95 and 7,435.38

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Solution

The fourth proportional to 13,723, 18,937.95 and 7,435.38 is: 10,260.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,723 : 18,937.95 = 7,435.38 : x
  2. Step 2: Convert to fraction form
    13,723/18,937.95 = 7,435.38/x
  3. Step 3: Cross multiply
    13,723x = 18,937.95 × 7,435.38
  4. Step 4: Simplify right side
    13,723x = 140,810,854.67
  5. Step 5: Solve for x
    x = 140,810,854.67/13,723
  6. Step 6: Final answer
    x = 10,260.94

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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.