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Finding the Fourth Proportional to 7,899.76, 11,842.60 and 4,002.16

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Solution

The fourth proportional to 7,899.76, 11,842.60 and 4,002.16 is: 5,999.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,899.76 : 11,842.60 = 4,002.16 : x
  2. Step 2: Convert to fraction form
    7,899.76/11,842.60 = 4,002.16/x
  3. Step 3: Cross multiply
    7,899.76x = 11,842.60 × 4,002.16
  4. Step 4: Simplify right side
    7,899.76x = 47,395,980.02
  5. Step 5: Solve for x
    x = 47,395,980.02/7,899.76
  6. Step 6: Final answer
    x = 5,999.67

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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.