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Finding the Fourth Proportional to 13,758.76, 18,986.98 and 7,471.18

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Solution

The fourth proportional to 13,758.76, 18,986.98 and 7,471.18 is: 10,310.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,758.76 : 18,986.98 = 7,471.18 : x
  2. Step 2: Convert to fraction form
    13,758.76/18,986.98 = 7,471.18/x
  3. Step 3: Cross multiply
    13,758.76x = 18,986.98 × 7,471.18
  4. Step 4: Simplify right side
    13,758.76x = 141,855,012.95
  5. Step 5: Solve for x
    x = 141,855,012.95/13,758.76
  6. Step 6: Final answer
    x = 10,310.16

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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.