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Finding the Fourth Proportional to 8,978.86, 13,466.26 and 3,430.23

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Solution

The fourth proportional to 8,978.86, 13,466.26 and 3,430.23 is: 5,144.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,978.86 : 13,466.26 = 3,430.23 : x
  2. Step 2: Convert to fraction form
    8,978.86/13,466.26 = 3,430.23/x
  3. Step 3: Cross multiply
    8,978.86x = 13,466.26 × 3,430.23
  4. Step 4: Simplify right side
    8,978.86x = 46,192,369.04
  5. Step 5: Solve for x
    x = 46,192,369.04/8,978.86
  6. Step 6: Final answer
    x = 5,144.57

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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.