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Finding the Fourth Proportional to 3,018.14, 4,526.72 and 826.36

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Solution

The fourth proportional to 3,018.14, 4,526.72 and 826.36 is: 1,239.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,018.14 : 4,526.72 = 826.36 : x
  2. Step 2: Convert to fraction form
    3,018.14/4,526.72 = 826.36/x
  3. Step 3: Cross multiply
    3,018.14x = 4,526.72 × 826.36
  4. Step 4: Simplify right side
    3,018.14x = 3,740,686.27
  5. Step 5: Solve for x
    x = 3,740,686.27/3,018.14
  6. Step 6: Final answer
    x = 1,239.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.