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Finding the Fourth Proportional to 7,105.55, 9,805.70 and 4,123.16

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Solution

The fourth proportional to 7,105.55, 9,805.70 and 4,123.16 is: 5,689.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,105.55 : 9,805.70 = 4,123.16 : x
  2. Step 2: Convert to fraction form
    7,105.55/9,805.70 = 4,123.16/x
  3. Step 3: Cross multiply
    7,105.55x = 9,805.70 × 4,123.16
  4. Step 4: Simplify right side
    7,105.55x = 40,430,400.37
  5. Step 5: Solve for x
    x = 40,430,400.37/7,105.55
  6. Step 6: Final answer
    x = 5,689.98

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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.