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Finding the Fourth Proportional to 2,823.66, 4,235.67 and 875.73

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Solution

The fourth proportional to 2,823.66, 4,235.67 and 875.73 is: 1,313.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.66 : 4,235.67 = 875.73 : x
  2. Step 2: Convert to fraction form
    2,823.66/4,235.67 = 875.73/x
  3. Step 3: Cross multiply
    2,823.66x = 4,235.67 × 875.73
  4. Step 4: Simplify right side
    2,823.66x = 3,709,303.29
  5. Step 5: Solve for x
    x = 3,709,303.29/2,823.66
  6. Step 6: Final answer
    x = 1,313.65

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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.