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Finding the Fourth Proportional to 13,490.43, 18,612.01 and 9,017

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Solution

The fourth proportional to 13,490.43, 18,612.01 and 9,017 is: 12,440.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,490.43 : 18,612.01 = 9,017 : x
  2. Step 2: Convert to fraction form
    13,490.43/18,612.01 = 9,017/x
  3. Step 3: Cross multiply
    13,490.43x = 18,612.01 × 9,017
  4. Step 4: Simplify right side
    13,490.43x = 167,824,494.17
  5. Step 5: Solve for x
    x = 167,824,494.17/13,490.43
  6. Step 6: Final answer
    x = 12,440.26

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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.