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Finding the Fourth Proportional to 7,978.02, 11,009.73 and 4,832.02

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Solution

The fourth proportional to 7,978.02, 11,009.73 and 4,832.02 is: 6,668.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.02 : 11,009.73 = 4,832.02 : x
  2. Step 2: Convert to fraction form
    7,978.02/11,009.73 = 4,832.02/x
  3. Step 3: Cross multiply
    7,978.02x = 11,009.73 × 4,832.02
  4. Step 4: Simplify right side
    7,978.02x = 53,199,235.55
  5. Step 5: Solve for x
    x = 53,199,235.55/7,978.02
  6. Step 6: Final answer
    x = 6,668.23

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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.