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Finding the Fourth Proportional to 1,881.84, 2,823.39 and 907.83

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Solution

The fourth proportional to 1,881.84, 2,823.39 and 907.83 is: 1,362.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,881.84 : 2,823.39 = 907.83 : x
  2. Step 2: Convert to fraction form
    1,881.84/2,823.39 = 907.83/x
  3. Step 3: Cross multiply
    1,881.84x = 2,823.39 × 907.83
  4. Step 4: Simplify right side
    1,881.84x = 2,563,158.14
  5. Step 5: Solve for x
    x = 2,563,158.14/1,881.84
  6. Step 6: Final answer
    x = 1,362.05

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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.