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Finding the Fourth Proportional to 11,173, 15,418.80 and 6,983.68

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Solution

The fourth proportional to 11,173, 15,418.80 and 6,983.68 is: 9,637.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,173 : 15,418.80 = 6,983.68 : x
  2. Step 2: Convert to fraction form
    11,173/15,418.80 = 6,983.68/x
  3. Step 3: Cross multiply
    11,173x = 15,418.80 × 6,983.68
  4. Step 4: Simplify right side
    11,173x = 107,679,965.18
  5. Step 5: Solve for x
    x = 107,679,965.18/11,173
  6. Step 6: Final answer
    x = 9,637.52

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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.