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Finding the Fourth Proportional to 3,312.56, 4,971.12 and 1,364.77

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Solution

The fourth proportional to 3,312.56, 4,971.12 and 1,364.77 is: 2,048.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,312.56 : 4,971.12 = 1,364.77 : x
  2. Step 2: Convert to fraction form
    3,312.56/4,971.12 = 1,364.77/x
  3. Step 3: Cross multiply
    3,312.56x = 4,971.12 × 1,364.77
  4. Step 4: Simplify right side
    3,312.56x = 6,784,416.25
  5. Step 5: Solve for x
    x = 6,784,416.25/3,312.56
  6. Step 6: Final answer
    x = 2,048.09

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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.