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Finding the Fourth Proportional to 4,999.34, 7,491.71 and 2,812.34

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Solution

The fourth proportional to 4,999.34, 7,491.71 and 2,812.34 is: 4,214.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,999.34 : 7,491.71 = 2,812.34 : x
  2. Step 2: Convert to fraction form
    4,999.34/7,491.71 = 2,812.34/x
  3. Step 3: Cross multiply
    4,999.34x = 7,491.71 × 2,812.34
  4. Step 4: Simplify right side
    4,999.34x = 21,069,235.70
  5. Step 5: Solve for x
    x = 21,069,235.70/4,999.34
  6. Step 6: Final answer
    x = 4,214.40

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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.