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Finding the Fourth Proportional to 7,978.16, 11,941.15 and 5,869.22

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Solution

The fourth proportional to 7,978.16, 11,941.15 and 5,869.22 is: 8,784.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.16 : 11,941.15 = 5,869.22 : x
  2. Step 2: Convert to fraction form
    7,978.16/11,941.15 = 5,869.22/x
  3. Step 3: Cross multiply
    7,978.16x = 11,941.15 × 5,869.22
  4. Step 4: Simplify right side
    7,978.16x = 70,085,207.06
  5. Step 5: Solve for x
    x = 70,085,207.06/7,978.16
  6. Step 6: Final answer
    x = 8,784.64

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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.