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Finding the Fourth Proportional to 9,792.90, 14,699.88 and 5,409.18

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Solution

The fourth proportional to 9,792.90, 14,699.88 and 5,409.18 is: 8,119.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.90 : 14,699.88 = 5,409.18 : x
  2. Step 2: Convert to fraction form
    9,792.90/14,699.88 = 5,409.18/x
  3. Step 3: Cross multiply
    9,792.90x = 14,699.88 × 5,409.18
  4. Step 4: Simplify right side
    9,792.90x = 79,514,296.90
  5. Step 5: Solve for x
    x = 79,514,296.90/9,792.90
  6. Step 6: Final answer
    x = 8,119.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.