Home / 5,102.10-7,656.10-2,140.28

Finding the Fourth Proportional to 5,102.10, 7,656.10 and 2,140.28

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Solution

The fourth proportional to 5,102.10, 7,656.10 and 2,140.28 is: 3,211.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.10 : 7,656.10 = 2,140.28 : x
  2. Step 2: Convert to fraction form
    5,102.10/7,656.10 = 2,140.28/x
  3. Step 3: Cross multiply
    5,102.10x = 7,656.10 × 2,140.28
  4. Step 4: Simplify right side
    5,102.10x = 16,386,177.29
  5. Step 5: Solve for x
    x = 16,386,177.29/5,102.10
  6. Step 6: Final answer
    x = 3,211.66

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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.