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Finding the Fourth Proportional to 7,113.14, 9,813.38 and 4,128.42

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Solution

The fourth proportional to 7,113.14, 9,813.38 and 4,128.42 is: 5,695.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,113.14 : 9,813.38 = 4,128.42 : x
  2. Step 2: Convert to fraction form
    7,113.14/9,813.38 = 4,128.42/x
  3. Step 3: Cross multiply
    7,113.14x = 9,813.38 × 4,128.42
  4. Step 4: Simplify right side
    7,113.14x = 40,513,754.26
  5. Step 5: Solve for x
    x = 40,513,754.26/7,113.14
  6. Step 6: Final answer
    x = 5,695.62

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Why These Related Problems?

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