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Finding the Fourth Proportional to 8,397.02, 11,585.89 and 5,409.34

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Solution

The fourth proportional to 8,397.02, 11,585.89 and 5,409.34 is: 7,463.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,397.02 : 11,585.89 = 5,409.34 : x
  2. Step 2: Convert to fraction form
    8,397.02/11,585.89 = 5,409.34/x
  3. Step 3: Cross multiply
    8,397.02x = 11,585.89 × 5,409.34
  4. Step 4: Simplify right side
    8,397.02x = 62,671,975.72
  5. Step 5: Solve for x
    x = 62,671,975.72/8,397.02
  6. Step 6: Final answer
    x = 7,463.60

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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.