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Finding the Fourth Proportional to 20,225.66, 30,317.66 and 7,742.28

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Solution

The fourth proportional to 20,225.66, 30,317.66 and 7,742.28 is: 11,605.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,225.66 : 30,317.66 = 7,742.28 : x
  2. Step 2: Convert to fraction form
    20,225.66/30,317.66 = 7,742.28/x
  3. Step 3: Cross multiply
    20,225.66x = 30,317.66 × 7,742.28
  4. Step 4: Simplify right side
    20,225.66x = 234,727,812.66
  5. Step 5: Solve for x
    x = 234,727,812.66/20,225.66
  6. Step 6: Final answer
    x = 11,605.45

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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.