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Finding the Fourth Proportional to 7,647.40, 11,409.89 and 6,815.80

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Solution

The fourth proportional to 7,647.40, 11,409.89 and 6,815.80 is: 10,169.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647.40 : 11,409.89 = 6,815.80 : x
  2. Step 2: Convert to fraction form
    7,647.40/11,409.89 = 6,815.80/x
  3. Step 3: Cross multiply
    7,647.40x = 11,409.89 × 6,815.80
  4. Step 4: Simplify right side
    7,647.40x = 77,767,528.26
  5. Step 5: Solve for x
    x = 77,767,528.26/7,647.40
  6. Step 6: Final answer
    x = 10,169.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.