Home / 5,140.36-7,708.13-1,853.02

Finding the Fourth Proportional to 5,140.36, 7,708.13 and 1,853.02

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Solution

The fourth proportional to 5,140.36, 7,708.13 and 1,853.02 is: 2,778.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,140.36 : 7,708.13 = 1,853.02 : x
  2. Step 2: Convert to fraction form
    5,140.36/7,708.13 = 1,853.02/x
  3. Step 3: Cross multiply
    5,140.36x = 7,708.13 × 1,853.02
  4. Step 4: Simplify right side
    5,140.36x = 14,283,271.25
  5. Step 5: Solve for x
    x = 14,283,271.25/5,140.36
  6. Step 6: Final answer
    x = 2,778.65

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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.