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Finding the Fourth Proportional to 7,978.40, 11,973.98 and 3,596.20

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Solution

The fourth proportional to 7,978.40, 11,973.98 and 3,596.20 is: 5,397.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.40 : 11,973.98 = 3,596.20 : x
  2. Step 2: Convert to fraction form
    7,978.40/11,973.98 = 3,596.20/x
  3. Step 3: Cross multiply
    7,978.40x = 11,973.98 × 3,596.20
  4. Step 4: Simplify right side
    7,978.40x = 43,060,749.03
  5. Step 5: Solve for x
    x = 43,060,749.03/7,978.40
  6. Step 6: Final answer
    x = 5,397.17

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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.