Home / 2,715.48-4,071.78-983.16

Finding the Fourth Proportional to 2,715.48, 4,071.78 and 983.16

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Solution

The fourth proportional to 2,715.48, 4,071.78 and 983.16 is: 1,474.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,715.48 : 4,071.78 = 983.16 : x
  2. Step 2: Convert to fraction form
    2,715.48/4,071.78 = 983.16/x
  3. Step 3: Cross multiply
    2,715.48x = 4,071.78 × 983.16
  4. Step 4: Simplify right side
    2,715.48x = 4,003,211.22
  5. Step 5: Solve for x
    x = 4,003,211.22/2,715.48
  6. Step 6: Final answer
    x = 1,474.22

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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.