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Finding the Fourth Proportional to 27,607.40, 38,078.16 and 16,993.16

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Solution

The fourth proportional to 27,607.40, 38,078.16 and 16,993.16 is: 23,438.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,607.40 : 38,078.16 = 16,993.16 : x
  2. Step 2: Convert to fraction form
    27,607.40/38,078.16 = 16,993.16/x
  3. Step 3: Cross multiply
    27,607.40x = 38,078.16 × 16,993.16
  4. Step 4: Simplify right side
    27,607.40x = 647,068,265.39
  5. Step 5: Solve for x
    x = 647,068,265.39/27,607.40
  6. Step 6: Final answer
    x = 23,438.22

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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.