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Finding the Fourth Proportional to 5,210.09, 7,815.83 and 1,698.87

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Solution

The fourth proportional to 5,210.09, 7,815.83 and 1,698.87 is: 2,548.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210.09 : 7,815.83 = 1,698.87 : x
  2. Step 2: Convert to fraction form
    5,210.09/7,815.83 = 1,698.87/x
  3. Step 3: Cross multiply
    5,210.09x = 7,815.83 × 1,698.87
  4. Step 4: Simplify right side
    5,210.09x = 13,278,041.31
  5. Step 5: Solve for x
    x = 13,278,041.31/5,210.09
  6. Step 6: Final answer
    x = 2,548.52

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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.