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Finding the Fourth Proportional to 7,140.94, 9,852.10 and 4,154.33

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Solution

The fourth proportional to 7,140.94, 9,852.10 and 4,154.33 is: 5,731.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,140.94 : 9,852.10 = 4,154.33 : x
  2. Step 2: Convert to fraction form
    7,140.94/9,852.10 = 4,154.33/x
  3. Step 3: Cross multiply
    7,140.94x = 9,852.10 × 4,154.33
  4. Step 4: Simplify right side
    7,140.94x = 40,928,888.84
  5. Step 5: Solve for x
    x = 40,928,888.84/7,140.94
  6. Step 6: Final answer
    x = 5,731.58

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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.