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Finding the Fourth Proportional to 13,758.70, 18,987.20 and 7,790.20

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Solution

The fourth proportional to 13,758.70, 18,987.20 and 7,790.20 is: 10,750.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,758.70 : 18,987.20 = 7,790.20 : x
  2. Step 2: Convert to fraction form
    13,758.70/18,987.20 = 7,790.20/x
  3. Step 3: Cross multiply
    13,758.70x = 18,987.20 × 7,790.20
  4. Step 4: Simplify right side
    13,758.70x = 147,914,009.98
  5. Step 5: Solve for x
    x = 147,914,009.98/13,758.70
  6. Step 6: Final answer
    x = 10,750.58

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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.