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Finding the Fourth Proportional to 2,892.36, 4,338.93 and 943.92

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Solution

The fourth proportional to 2,892.36, 4,338.93 and 943.92 is: 1,416.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.36 : 4,338.93 = 943.92 : x
  2. Step 2: Convert to fraction form
    2,892.36/4,338.93 = 943.92/x
  3. Step 3: Cross multiply
    2,892.36x = 4,338.93 × 943.92
  4. Step 4: Simplify right side
    2,892.36x = 4,095,602.81
  5. Step 5: Solve for x
    x = 4,095,602.81/2,892.36
  6. Step 6: Final answer
    x = 1,416.01

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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.