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Finding the Fourth Proportional to 30,756.76, 46,135.14 and 7,383.20

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Solution

The fourth proportional to 30,756.76, 46,135.14 and 7,383.20 is: 11,074.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,756.76 : 46,135.14 = 7,383.20 : x
  2. Step 2: Convert to fraction form
    30,756.76/46,135.14 = 7,383.20/x
  3. Step 3: Cross multiply
    30,756.76x = 46,135.14 × 7,383.20
  4. Step 4: Simplify right side
    30,756.76x = 340,624,837.04
  5. Step 5: Solve for x
    x = 340,624,837.04/30,756.76
  6. Step 6: Final answer
    x = 11,074.80

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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.