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Finding the Fourth Proportional to 30,871.92, 46,281.96 and 20,983.44

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Solution

The fourth proportional to 30,871.92, 46,281.96 and 20,983.44 is: 31,457.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,871.92 : 46,281.96 = 20,983.44 : x
  2. Step 2: Convert to fraction form
    30,871.92/46,281.96 = 20,983.44/x
  3. Step 3: Cross multiply
    30,871.92x = 46,281.96 × 20,983.44
  4. Step 4: Simplify right side
    30,871.92x = 971,154,730.74
  5. Step 5: Solve for x
    x = 971,154,730.74/30,871.92
  6. Step 6: Final answer
    x = 31,457.54

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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.