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Finding the Fourth Proportional to 20,386.96, 30,583.48 and 7,238.22

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Solution

The fourth proportional to 20,386.96, 30,583.48 and 7,238.22 is: 10,858.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,386.96 : 30,583.48 = 7,238.22 : x
  2. Step 2: Convert to fraction form
    20,386.96/30,583.48 = 7,238.22/x
  3. Step 3: Cross multiply
    20,386.96x = 30,583.48 × 7,238.22
  4. Step 4: Simplify right side
    20,386.96x = 221,369,956.61
  5. Step 5: Solve for x
    x = 221,369,956.61/20,386.96
  6. Step 6: Final answer
    x = 10,858.41

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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.