Home / 1,935.02-2,902.80-780.50

Finding the Fourth Proportional to 1,935.02, 2,902.80 and 780.50

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Solution

The fourth proportional to 1,935.02, 2,902.80 and 780.50 is: 1,170.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,935.02 : 2,902.80 = 780.50 : x
  2. Step 2: Convert to fraction form
    1,935.02/2,902.80 = 780.50/x
  3. Step 3: Cross multiply
    1,935.02x = 2,902.80 × 780.50
  4. Step 4: Simplify right side
    1,935.02x = 2,265,635.40
  5. Step 5: Solve for x
    x = 2,265,635.40/1,935.02
  6. Step 6: Final answer
    x = 1,170.86

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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.