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Finding the Fourth Proportional to 2,071.56, 3,099.74 and 1,148.01

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Solution

The fourth proportional to 2,071.56, 3,099.74 and 1,148.01 is: 1,717.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.56 : 3,099.74 = 1,148.01 : x
  2. Step 2: Convert to fraction form
    2,071.56/3,099.74 = 1,148.01/x
  3. Step 3: Cross multiply
    2,071.56x = 3,099.74 × 1,148.01
  4. Step 4: Simplify right side
    2,071.56x = 3,558,526.78
  5. Step 5: Solve for x
    x = 3,558,526.78/2,071.56
  6. Step 6: Final answer
    x = 1,717.80

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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.