Home / 2,085.50-2,878.08-1,154

Finding the Fourth Proportional to 2,085.50, 2,878.08 and 1,154

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Solution

The fourth proportional to 2,085.50, 2,878.08 and 1,154 is: 1,592.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.50 : 2,878.08 = 1,154 : x
  2. Step 2: Convert to fraction form
    2,085.50/2,878.08 = 1,154/x
  3. Step 3: Cross multiply
    2,085.50x = 2,878.08 × 1,154
  4. Step 4: Simplify right side
    2,085.50x = 3,321,304.32
  5. Step 5: Solve for x
    x = 3,321,304.32/2,085.50
  6. Step 6: Final answer
    x = 1,592.57

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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.