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Finding the Fourth Proportional to 13,525.99, 18,659.06 and 9,049.93

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Solution

The fourth proportional to 13,525.99, 18,659.06 and 9,049.93 is: 12,484.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,525.99 : 18,659.06 = 9,049.93 : x
  2. Step 2: Convert to fraction form
    13,525.99/18,659.06 = 9,049.93/x
  3. Step 3: Cross multiply
    13,525.99x = 18,659.06 × 9,049.93
  4. Step 4: Simplify right side
    13,525.99x = 168,863,128.91
  5. Step 5: Solve for x
    x = 168,863,128.91/13,525.99
  6. Step 6: Final answer
    x = 12,484.35

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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.