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Finding the Fourth Proportional to 4,811.64, 7,219.80 and 1,892.40

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Solution

The fourth proportional to 4,811.64, 7,219.80 and 1,892.40 is: 2,839.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,811.64 : 7,219.80 = 1,892.40 : x
  2. Step 2: Convert to fraction form
    4,811.64/7,219.80 = 1,892.40/x
  3. Step 3: Cross multiply
    4,811.64x = 7,219.80 × 1,892.40
  4. Step 4: Simplify right side
    4,811.64x = 13,662,749.52
  5. Step 5: Solve for x
    x = 13,662,749.52/4,811.64
  6. Step 6: Final answer
    x = 2,839.52

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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.