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Finding the Fourth Proportional to 4,643.16, 6,964.60 and 1,180.40

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Solution

The fourth proportional to 4,643.16, 6,964.60 and 1,180.40 is: 1,770.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.16 : 6,964.60 = 1,180.40 : x
  2. Step 2: Convert to fraction form
    4,643.16/6,964.60 = 1,180.40/x
  3. Step 3: Cross multiply
    4,643.16x = 6,964.60 × 1,180.40
  4. Step 4: Simplify right side
    4,643.16x = 8,221,013.84
  5. Step 5: Solve for x
    x = 8,221,013.84/4,643.16
  6. Step 6: Final answer
    x = 1,770.56

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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.