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Finding the Fourth Proportional to 9,842.78, 14,772.70 and 5,166.09

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Solution

The fourth proportional to 9,842.78, 14,772.70 and 5,166.09 is: 7,753.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.78 : 14,772.70 = 5,166.09 : x
  2. Step 2: Convert to fraction form
    9,842.78/14,772.70 = 5,166.09/x
  3. Step 3: Cross multiply
    9,842.78x = 14,772.70 × 5,166.09
  4. Step 4: Simplify right side
    9,842.78x = 76,317,075.14
  5. Step 5: Solve for x
    x = 76,317,075.14/9,842.78
  6. Step 6: Final answer
    x = 7,753.61

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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.