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Finding the Fourth Proportional to 7,137.69, 10,690.70 and 5,482.05

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Solution

The fourth proportional to 7,137.69, 10,690.70 and 5,482.05 is: 8,210.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.69 : 10,690.70 = 5,482.05 : x
  2. Step 2: Convert to fraction form
    7,137.69/10,690.70 = 5,482.05/x
  3. Step 3: Cross multiply
    7,137.69x = 10,690.70 × 5,482.05
  4. Step 4: Simplify right side
    7,137.69x = 58,606,924.52
  5. Step 5: Solve for x
    x = 58,606,924.52/7,137.69
  6. Step 6: Final answer
    x = 8,210.91

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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.