Home / 3,311.16-4,967.50-971.12

Finding the Fourth Proportional to 3,311.16, 4,967.50 and 971.12

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Solution

The fourth proportional to 3,311.16, 4,967.50 and 971.12 is: 1,456.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,311.16 : 4,967.50 = 971.12 : x
  2. Step 2: Convert to fraction form
    3,311.16/4,967.50 = 971.12/x
  3. Step 3: Cross multiply
    3,311.16x = 4,967.50 × 971.12
  4. Step 4: Simplify right side
    3,311.16x = 4,824,038.60
  5. Step 5: Solve for x
    x = 4,824,038.60/3,311.16
  6. Step 6: Final answer
    x = 1,456.90

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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.