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Finding the Fourth Proportional to 4,684, 6,464 and 3,030.88

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Solution

The fourth proportional to 4,684, 6,464 and 3,030.88 is: 4,182.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,684 : 6,464 = 3,030.88 : x
  2. Step 2: Convert to fraction form
    4,684/6,464 = 3,030.88/x
  3. Step 3: Cross multiply
    4,684x = 6,464 × 3,030.88
  4. Step 4: Simplify right side
    4,684x = 19,591,608.32
  5. Step 5: Solve for x
    x = 19,591,608.32/4,684
  6. Step 6: Final answer
    x = 4,182.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.