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Finding the Fourth Proportional to 7,157.98, 9,878.61 and 3,972.28

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Solution

The fourth proportional to 7,157.98, 9,878.61 and 3,972.28 is: 5,482.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,157.98 : 9,878.61 = 3,972.28 : x
  2. Step 2: Convert to fraction form
    7,157.98/9,878.61 = 3,972.28/x
  3. Step 3: Cross multiply
    7,157.98x = 9,878.61 × 3,972.28
  4. Step 4: Simplify right side
    7,157.98x = 39,240,604.93
  5. Step 5: Solve for x
    x = 39,240,604.93/7,157.98
  6. Step 6: Final answer
    x = 5,482.08

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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.