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Finding the Fourth Proportional to 30,211.84, 45,317.58 and 11,743.84

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Solution

The fourth proportional to 30,211.84, 45,317.58 and 11,743.84 is: 17,615.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,211.84 : 45,317.58 = 11,743.84 : x
  2. Step 2: Convert to fraction form
    30,211.84/45,317.58 = 11,743.84/x
  3. Step 3: Cross multiply
    30,211.84x = 45,317.58 × 11,743.84
  4. Step 4: Simplify right side
    30,211.84x = 532,202,408.71
  5. Step 5: Solve for x
    x = 532,202,408.71/30,211.84
  6. Step 6: Final answer
    x = 17,615.69

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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.