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Finding the Fourth Proportional to 5,003.68, 7,503 and 1,670.76

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Solution

The fourth proportional to 5,003.68, 7,503 and 1,670.76 is: 2,505.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,003.68 : 7,503 = 1,670.76 : x
  2. Step 2: Convert to fraction form
    5,003.68/7,503 = 1,670.76/x
  3. Step 3: Cross multiply
    5,003.68x = 7,503 × 1,670.76
  4. Step 4: Simplify right side
    5,003.68x = 12,535,712.28
  5. Step 5: Solve for x
    x = 12,535,712.28/5,003.68
  6. Step 6: Final answer
    x = 2,505.30

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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.