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Finding the Fourth Proportional to 17,977, 26,970.82 and 9,218.06

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Solution

The fourth proportional to 17,977, 26,970.82 and 9,218.06 is: 13,829.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,977 : 26,970.82 = 9,218.06 : x
  2. Step 2: Convert to fraction form
    17,977/26,970.82 = 9,218.06/x
  3. Step 3: Cross multiply
    17,977x = 26,970.82 × 9,218.06
  4. Step 4: Simplify right side
    17,977x = 248,618,637.01
  5. Step 5: Solve for x
    x = 248,618,637.01/17,977
  6. Step 6: Final answer
    x = 13,829.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.