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Finding the Fourth Proportional to 2,823.48, 4,235.24 and 875.64

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Solution

The fourth proportional to 2,823.48, 4,235.24 and 875.64 is: 1,313.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.48 : 4,235.24 = 875.64 : x
  2. Step 2: Convert to fraction form
    2,823.48/4,235.24 = 875.64/x
  3. Step 3: Cross multiply
    2,823.48x = 4,235.24 × 875.64
  4. Step 4: Simplify right side
    2,823.48x = 3,708,545.55
  5. Step 5: Solve for x
    x = 3,708,545.55/2,823.48
  6. Step 6: Final answer
    x = 1,313.47

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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.