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Finding the Fourth Proportional to 13,751.46, 18,973.18 and 7,783.00

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Solution

The fourth proportional to 13,751.46, 18,973.18 and 7,783.00 is: 10,738.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,751.46 : 18,973.18 = 7,783.00 : x
  2. Step 2: Convert to fraction form
    13,751.46/18,973.18 = 7,783.00/x
  3. Step 3: Cross multiply
    13,751.46x = 18,973.18 × 7,783.00
  4. Step 4: Simplify right side
    13,751.46x = 147,668,222.24
  5. Step 5: Solve for x
    x = 147,668,222.24/13,751.46
  6. Step 6: Final answer
    x = 10,738.37

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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.