Home / 3,281.16-4,920.90-972.12

Finding the Fourth Proportional to 3,281.16, 4,920.90 and 972.12

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Solution

The fourth proportional to 3,281.16, 4,920.90 and 972.12 is: 1,457.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,281.16 : 4,920.90 = 972.12 : x
  2. Step 2: Convert to fraction form
    3,281.16/4,920.90 = 972.12/x
  3. Step 3: Cross multiply
    3,281.16x = 4,920.90 × 972.12
  4. Step 4: Simplify right side
    3,281.16x = 4,783,705.31
  5. Step 5: Solve for x
    x = 4,783,705.31/3,281.16
  6. Step 6: Final answer
    x = 1,457.93

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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.