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Finding the Fourth Proportional to 6,478.81, 9,716.69 and 5,482.51

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Solution

The fourth proportional to 6,478.81, 9,716.69 and 5,482.51 is: 8,222.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478.81 : 9,716.69 = 5,482.51 : x
  2. Step 2: Convert to fraction form
    6,478.81/9,716.69 = 5,482.51/x
  3. Step 3: Cross multiply
    6,478.81x = 9,716.69 × 5,482.51
  4. Step 4: Simplify right side
    6,478.81x = 53,271,839.51
  5. Step 5: Solve for x
    x = 53,271,839.51/6,478.81
  6. Step 6: Final answer
    x = 8,222.48

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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.