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Finding the Fourth Proportional to 3,365.63, 5,048.71 and 900.40

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Solution

The fourth proportional to 3,365.63, 5,048.71 and 900.40 is: 1,350.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,365.63 : 5,048.71 = 900.40 : x
  2. Step 2: Convert to fraction form
    3,365.63/5,048.71 = 900.40/x
  3. Step 3: Cross multiply
    3,365.63x = 5,048.71 × 900.40
  4. Step 4: Simplify right side
    3,365.63x = 4,545,858.14
  5. Step 5: Solve for x
    x = 4,545,858.14/3,365.63
  6. Step 6: Final answer
    x = 1,350.67

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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.