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Finding the Fourth Proportional to 5,047.63, 6,964.89 and 2,809.45

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Solution

The fourth proportional to 5,047.63, 6,964.89 and 2,809.45 is: 3,876.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047.63 : 6,964.89 = 2,809.45 : x
  2. Step 2: Convert to fraction form
    5,047.63/6,964.89 = 2,809.45/x
  3. Step 3: Cross multiply
    5,047.63x = 6,964.89 × 2,809.45
  4. Step 4: Simplify right side
    5,047.63x = 19,567,492.91
  5. Step 5: Solve for x
    x = 19,567,492.91/5,047.63
  6. Step 6: Final answer
    x = 3,876.57

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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.