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Finding the Fourth Proportional to 8,391.34, 11,580.35 and 4,614.80

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Solution

The fourth proportional to 8,391.34, 11,580.35 and 4,614.80 is: 6,368.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,391.34 : 11,580.35 = 4,614.80 : x
  2. Step 2: Convert to fraction form
    8,391.34/11,580.35 = 4,614.80/x
  3. Step 3: Cross multiply
    8,391.34x = 11,580.35 × 4,614.80
  4. Step 4: Simplify right side
    8,391.34x = 53,440,999.18
  5. Step 5: Solve for x
    x = 53,440,999.18/8,391.34
  6. Step 6: Final answer
    x = 6,368.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.