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Finding the Fourth Proportional to 2,823.32, 4,235.67 and 875.54

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Solution

The fourth proportional to 2,823.32, 4,235.67 and 875.54 is: 1,313.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.32 : 4,235.67 = 875.54 : x
  2. Step 2: Convert to fraction form
    2,823.32/4,235.67 = 875.54/x
  3. Step 3: Cross multiply
    2,823.32x = 4,235.67 × 875.54
  4. Step 4: Simplify right side
    2,823.32x = 3,708,509.10
  5. Step 5: Solve for x
    x = 3,708,509.10/2,823.32
  6. Step 6: Final answer
    x = 1,313.53

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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.