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Finding the Fourth Proportional to 4,653.82, 6,421.53 and 2,976.70

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Solution

The fourth proportional to 4,653.82, 6,421.53 and 2,976.70 is: 4,107.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,653.82 : 6,421.53 = 2,976.70 : x
  2. Step 2: Convert to fraction form
    4,653.82/6,421.53 = 2,976.70/x
  3. Step 3: Cross multiply
    4,653.82x = 6,421.53 × 2,976.70
  4. Step 4: Simplify right side
    4,653.82x = 19,114,968.35
  5. Step 5: Solve for x
    x = 19,114,968.35/4,653.82
  6. Step 6: Final answer
    x = 4,107.37

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1.5x scale

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.