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Finding the Fourth Proportional to 13,762.53, 18,993.56 and 7,794.45

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Solution

The fourth proportional to 13,762.53, 18,993.56 and 7,794.45 is: 10,757.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,762.53 : 18,993.56 = 7,794.45 : x
  2. Step 2: Convert to fraction form
    13,762.53/18,993.56 = 7,794.45/x
  3. Step 3: Cross multiply
    13,762.53x = 18,993.56 × 7,794.45
  4. Step 4: Simplify right side
    13,762.53x = 148,044,314.77
  5. Step 5: Solve for x
    x = 148,044,314.77/13,762.53
  6. Step 6: Final answer
    x = 10,757.06

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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.