Home / 2,071.52-2,858.68-1,140

Finding the Fourth Proportional to 2,071.52, 2,858.68 and 1,140

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Solution

The fourth proportional to 2,071.52, 2,858.68 and 1,140 is: 1,573.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.52 : 2,858.68 = 1,140 : x
  2. Step 2: Convert to fraction form
    2,071.52/2,858.68 = 1,140/x
  3. Step 3: Cross multiply
    2,071.52x = 2,858.68 × 1,140
  4. Step 4: Simplify right side
    2,071.52x = 3,258,895.20
  5. Step 5: Solve for x
    x = 3,258,895.20/2,071.52
  6. Step 6: Final answer
    x = 1,573.19

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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.