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Finding the Fourth Proportional to 11,486.61, 15,853.24 and 7,012.96

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Solution

The fourth proportional to 11,486.61, 15,853.24 and 7,012.96 is: 9,678.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,486.61 : 15,853.24 = 7,012.96 : x
  2. Step 2: Convert to fraction form
    11,486.61/15,853.24 = 7,012.96/x
  3. Step 3: Cross multiply
    11,486.61x = 15,853.24 × 7,012.96
  4. Step 4: Simplify right side
    11,486.61x = 111,178,107.12
  5. Step 5: Solve for x
    x = 111,178,107.12/11,486.61
  6. Step 6: Final answer
    x = 9,678.93

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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.