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Finding the Fourth Proportional to 13,758.99, 20,637.72 and 8,494.98

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Solution

The fourth proportional to 13,758.99, 20,637.72 and 8,494.98 is: 12,742.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,758.99 : 20,637.72 = 8,494.98 : x
  2. Step 2: Convert to fraction form
    13,758.99/20,637.72 = 8,494.98/x
  3. Step 3: Cross multiply
    13,758.99x = 20,637.72 × 8,494.98
  4. Step 4: Simplify right side
    13,758.99x = 175,317,018.65
  5. Step 5: Solve for x
    x = 175,317,018.65/13,758.99
  6. Step 6: Final answer
    x = 12,742.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.