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Finding the Fourth Proportional to 13,760.45, 18,992.45 and 9,045.17

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Solution

The fourth proportional to 13,760.45, 18,992.45 and 9,045.17 is: 12,484.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,760.45 : 18,992.45 = 9,045.17 : x
  2. Step 2: Convert to fraction form
    13,760.45/18,992.45 = 9,045.17/x
  3. Step 3: Cross multiply
    13,760.45x = 18,992.45 × 9,045.17
  4. Step 4: Simplify right side
    13,760.45x = 171,789,893.74
  5. Step 5: Solve for x
    x = 171,789,893.74/13,760.45
  6. Step 6: Final answer
    x = 12,484.32

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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.