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Finding the Fourth Proportional to 3,510.72, 5,262 and 1,318.05

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Solution

The fourth proportional to 3,510.72, 5,262 and 1,318.05 is: 1,975.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,510.72 : 5,262 = 1,318.05 : x
  2. Step 2: Convert to fraction form
    3,510.72/5,262 = 1,318.05/x
  3. Step 3: Cross multiply
    3,510.72x = 5,262 × 1,318.05
  4. Step 4: Simplify right side
    3,510.72x = 6,935,579.10
  5. Step 5: Solve for x
    x = 6,935,579.10/3,510.72
  6. Step 6: Final answer
    x = 1,975.54

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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.