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Finding the Fourth Proportional to 2,824.68, 4,237.68 and 975.81

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Solution

The fourth proportional to 2,824.68, 4,237.68 and 975.81 is: 1,463.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.68 : 4,237.68 = 975.81 : x
  2. Step 2: Convert to fraction form
    2,824.68/4,237.68 = 975.81/x
  3. Step 3: Cross multiply
    2,824.68x = 4,237.68 × 975.81
  4. Step 4: Simplify right side
    2,824.68x = 4,135,166.23
  5. Step 5: Solve for x
    x = 4,135,166.23/2,824.68
  6. Step 6: Final answer
    x = 1,463.94

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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.