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Finding the Fourth Proportional to 13,758.80, 18,986.96 and 7,790.40

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Solution

The fourth proportional to 13,758.80, 18,986.96 and 7,790.40 is: 10,750.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,758.80 : 18,986.96 = 7,790.40 : x
  2. Step 2: Convert to fraction form
    13,758.80/18,986.96 = 7,790.40/x
  3. Step 3: Cross multiply
    13,758.80x = 18,986.96 × 7,790.40
  4. Step 4: Simplify right side
    13,758.80x = 147,916,013.18
  5. Step 5: Solve for x
    x = 147,916,013.18/13,758.80
  6. Step 6: Final answer
    x = 10,750.65

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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.