Home / 5,146-7,729.36-3,070.06

Finding the Fourth Proportional to 5,146, 7,729.36 and 3,070.06

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Solution

The fourth proportional to 5,146, 7,729.36 and 3,070.06 is: 4,611.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146 : 7,729.36 = 3,070.06 : x
  2. Step 2: Convert to fraction form
    5,146/7,729.36 = 3,070.06/x
  3. Step 3: Cross multiply
    5,146x = 7,729.36 × 3,070.06
  4. Step 4: Simplify right side
    5,146x = 23,729,598.96
  5. Step 5: Solve for x
    x = 23,729,598.96/5,146
  6. Step 6: Final answer
    x = 4,611.27

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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.