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Finding the Fourth Proportional to 11,584.84, 15,987.38 and 7,111.06

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Solution

The fourth proportional to 11,584.84, 15,987.38 and 7,111.06 is: 9,813.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,584.84 : 15,987.38 = 7,111.06 : x
  2. Step 2: Convert to fraction form
    11,584.84/15,987.38 = 7,111.06/x
  3. Step 3: Cross multiply
    11,584.84x = 15,987.38 × 7,111.06
  4. Step 4: Simplify right side
    11,584.84x = 113,687,218.42
  5. Step 5: Solve for x
    x = 113,687,218.42/11,584.84
  6. Step 6: Final answer
    x = 9,813.45

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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.