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Finding the Fourth Proportional to 1,955.19, 2,932.75 and 785.49

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Solution

The fourth proportional to 1,955.19, 2,932.75 and 785.49 is: 1,178.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,955.19 : 2,932.75 = 785.49 : x
  2. Step 2: Convert to fraction form
    1,955.19/2,932.75 = 785.49/x
  3. Step 3: Cross multiply
    1,955.19x = 2,932.75 × 785.49
  4. Step 4: Simplify right side
    1,955.19x = 2,303,645.80
  5. Step 5: Solve for x
    x = 2,303,645.80/1,955.19
  6. Step 6: Final answer
    x = 1,178.22

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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.