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Finding the Fourth Proportional to 13,762.81, 18,992.90 and 7,794.32

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Solution

The fourth proportional to 13,762.81, 18,992.90 and 7,794.32 is: 10,756.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,762.81 : 18,992.90 = 7,794.32 : x
  2. Step 2: Convert to fraction form
    13,762.81/18,992.90 = 7,794.32/x
  3. Step 3: Cross multiply
    13,762.81x = 18,992.90 × 7,794.32
  4. Step 4: Simplify right side
    13,762.81x = 148,036,740.33
  5. Step 5: Solve for x
    x = 148,036,740.33/13,762.81
  6. Step 6: Final answer
    x = 10,756.29

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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.