Home / 5,140.44-7,712.10-1,853.40

Finding the Fourth Proportional to 5,140.44, 7,712.10 and 1,853.40

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Solution

The fourth proportional to 5,140.44, 7,712.10 and 1,853.40 is: 2,780.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,140.44 : 7,712.10 = 1,853.40 : x
  2. Step 2: Convert to fraction form
    5,140.44/7,712.10 = 1,853.40/x
  3. Step 3: Cross multiply
    5,140.44x = 7,712.10 × 1,853.40
  4. Step 4: Simplify right side
    5,140.44x = 14,293,606.14
  5. Step 5: Solve for x
    x = 14,293,606.14/5,140.44
  6. Step 6: Final answer
    x = 2,780.62

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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.