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Finding the Fourth Proportional to 9,770, 13,482.60 and 5,578.36

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Solution

The fourth proportional to 9,770, 13,482.60 and 5,578.36 is: 7,698.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770 : 13,482.60 = 5,578.36 : x
  2. Step 2: Convert to fraction form
    9,770/13,482.60 = 5,578.36/x
  3. Step 3: Cross multiply
    9,770x = 13,482.60 × 5,578.36
  4. Step 4: Simplify right side
    9,770x = 75,210,796.54
  5. Step 5: Solve for x
    x = 75,210,796.54/9,770
  6. Step 6: Final answer
    x = 7,698.14

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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.