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Finding the Fourth Proportional to 13,751.40, 18,976.42 and 7,783.20

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Solution

The fourth proportional to 13,751.40, 18,976.42 and 7,783.20 is: 10,740.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,751.40 : 18,976.42 = 7,783.20 : x
  2. Step 2: Convert to fraction form
    13,751.40/18,976.42 = 7,783.20/x
  3. Step 3: Cross multiply
    13,751.40x = 18,976.42 × 7,783.20
  4. Step 4: Simplify right side
    13,751.40x = 147,697,272.14
  5. Step 5: Solve for x
    x = 147,697,272.14/13,751.40
  6. Step 6: Final answer
    x = 10,740.53

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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.