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Finding the Fourth Proportional to 13,615.65, 18,788.19 and 7,647.27

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Solution

The fourth proportional to 13,615.65, 18,788.19 and 7,647.27 is: 10,552.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,615.65 : 18,788.19 = 7,647.27 : x
  2. Step 2: Convert to fraction form
    13,615.65/18,788.19 = 7,647.27/x
  3. Step 3: Cross multiply
    13,615.65x = 18,788.19 × 7,647.27
  4. Step 4: Simplify right side
    13,615.65x = 143,678,361.74
  5. Step 5: Solve for x
    x = 143,678,361.74/13,615.65
  6. Step 6: Final answer
    x = 10,552.44

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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.