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Finding the Fourth Proportional to 6,400.76, 9,602.45 and 3,628.67

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Solution

The fourth proportional to 6,400.76, 9,602.45 and 3,628.67 is: 5,443.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.76 : 9,602.45 = 3,628.67 : x
  2. Step 2: Convert to fraction form
    6,400.76/9,602.45 = 3,628.67/x
  3. Step 3: Cross multiply
    6,400.76x = 9,602.45 × 3,628.67
  4. Step 4: Simplify right side
    6,400.76x = 34,844,146.25
  5. Step 5: Solve for x
    x = 34,844,146.25/6,400.76
  6. Step 6: Final answer
    x = 5,443.75

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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.