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Finding the Fourth Proportional to 7,110.66, 9,813.15 and 3,923.94

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Solution

The fourth proportional to 7,110.66, 9,813.15 and 3,923.94 is: 5,415.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,110.66 : 9,813.15 = 3,923.94 : x
  2. Step 2: Convert to fraction form
    7,110.66/9,813.15 = 3,923.94/x
  3. Step 3: Cross multiply
    7,110.66x = 9,813.15 × 3,923.94
  4. Step 4: Simplify right side
    7,110.66x = 38,506,211.81
  5. Step 5: Solve for x
    x = 38,506,211.81/7,110.66
  6. Step 6: Final answer
    x = 5,415.28

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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.