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Finding the Fourth Proportional to 5,126.24, 7,074.24 and 2,888.16

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Solution

The fourth proportional to 5,126.24, 7,074.24 and 2,888.16 is: 3,985.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,126.24 : 7,074.24 = 2,888.16 : x
  2. Step 2: Convert to fraction form
    5,126.24/7,074.24 = 2,888.16/x
  3. Step 3: Cross multiply
    5,126.24x = 7,074.24 × 2,888.16
  4. Step 4: Simplify right side
    5,126.24x = 20,431,537.00
  5. Step 5: Solve for x
    x = 20,431,537.00/5,126.24
  6. Step 6: Final answer
    x = 3,985.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.