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Finding the Fourth Proportional to 1,765.78, 2,433.45 and 1,528.99

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Solution

The fourth proportional to 1,765.78, 2,433.45 and 1,528.99 is: 2,107.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.78 : 2,433.45 = 1,528.99 : x
  2. Step 2: Convert to fraction form
    1,765.78/2,433.45 = 1,528.99/x
  3. Step 3: Cross multiply
    1,765.78x = 2,433.45 × 1,528.99
  4. Step 4: Simplify right side
    1,765.78x = 3,720,720.72
  5. Step 5: Solve for x
    x = 3,720,720.72/1,765.78
  6. Step 6: Final answer
    x = 2,107.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.