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Finding the Fourth Proportional to 7,986.40, 11,970.36 and 7,063.84

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Solution

The fourth proportional to 7,986.40, 11,970.36 and 7,063.84 is: 10,587.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,986.40 : 11,970.36 = 7,063.84 : x
  2. Step 2: Convert to fraction form
    7,986.40/11,970.36 = 7,063.84/x
  3. Step 3: Cross multiply
    7,986.40x = 11,970.36 × 7,063.84
  4. Step 4: Simplify right side
    7,986.40x = 84,556,707.78
  5. Step 5: Solve for x
    x = 84,556,707.78/7,986.40
  6. Step 6: Final answer
    x = 10,587.59

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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.