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Finding the Fourth Proportional to 3,503.77, 5,255.00 and 1,312.03

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Solution

The fourth proportional to 3,503.77, 5,255.00 and 1,312.03 is: 1,967.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,503.77 : 5,255.00 = 1,312.03 : x
  2. Step 2: Convert to fraction form
    3,503.77/5,255.00 = 1,312.03/x
  3. Step 3: Cross multiply
    3,503.77x = 5,255.00 × 1,312.03
  4. Step 4: Simplify right side
    3,503.77x = 6,894,711.09
  5. Step 5: Solve for x
    x = 6,894,711.09/3,503.77
  6. Step 6: Final answer
    x = 1,967.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.