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Finding the Fourth Proportional to 13,502.99, 18,647.46 and 8,790

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Solution

The fourth proportional to 13,502.99, 18,647.46 and 8,790 is: 12,138.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,502.99 : 18,647.46 = 8,790 : x
  2. Step 2: Convert to fraction form
    13,502.99/18,647.46 = 8,790/x
  3. Step 3: Cross multiply
    13,502.99x = 18,647.46 × 8,790
  4. Step 4: Simplify right side
    13,502.99x = 163,911,173.40
  5. Step 5: Solve for x
    x = 163,911,173.40/13,502.99
  6. Step 6: Final answer
    x = 12,138.88

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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.