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Finding the Fourth Proportional to 9,802.56, 14,708.70 and 4,872

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Solution

The fourth proportional to 9,802.56, 14,708.70 and 4,872 is: 7,310.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.56 : 14,708.70 = 4,872 : x
  2. Step 2: Convert to fraction form
    9,802.56/14,708.70 = 4,872/x
  3. Step 3: Cross multiply
    9,802.56x = 14,708.70 × 4,872
  4. Step 4: Simplify right side
    9,802.56x = 71,660,786.40
  5. Step 5: Solve for x
    x = 71,660,786.40/9,802.56
  6. Step 6: Final answer
    x = 7,310.42

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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.