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Finding the Fourth Proportional to 13,325.81, 19,978.44 and 5,005.65

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Solution

The fourth proportional to 13,325.81, 19,978.44 and 5,005.65 is: 7,504.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,325.81 : 19,978.44 = 5,005.65 : x
  2. Step 2: Convert to fraction form
    13,325.81/19,978.44 = 5,005.65/x
  3. Step 3: Cross multiply
    13,325.81x = 19,978.44 × 5,005.65
  4. Step 4: Simplify right side
    13,325.81x = 100,005,078.19
  5. Step 5: Solve for x
    x = 100,005,078.19/13,325.81
  6. Step 6: Final answer
    x = 7,504.62

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1.5x scale

Why These Related Problems?

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