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Finding the Fourth Proportional to 8,396.90, 11,585.62 and 5,409.13

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Solution

The fourth proportional to 8,396.90, 11,585.62 and 5,409.13 is: 7,463.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,396.90 : 11,585.62 = 5,409.13 : x
  2. Step 2: Convert to fraction form
    8,396.90/11,585.62 = 5,409.13/x
  3. Step 3: Cross multiply
    8,396.90x = 11,585.62 × 5,409.13
  4. Step 4: Simplify right side
    8,396.90x = 62,668,124.71
  5. Step 5: Solve for x
    x = 62,668,124.71/8,396.90
  6. Step 6: Final answer
    x = 7,463.25

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1.5x scale

Why These Related Problems?

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