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Finding the Fourth Proportional to 9,842.70, 14,759.61 and 2,821.11

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Solution

The fourth proportional to 9,842.70, 14,759.61 and 2,821.11 is: 4,230.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.70 : 14,759.61 = 2,821.11 : x
  2. Step 2: Convert to fraction form
    9,842.70/14,759.61 = 2,821.11/x
  3. Step 3: Cross multiply
    9,842.70x = 14,759.61 × 2,821.11
  4. Step 4: Simplify right side
    9,842.70x = 41,638,483.37
  5. Step 5: Solve for x
    x = 41,638,483.37/9,842.70
  6. Step 6: Final answer
    x = 4,230.39

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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.