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Finding the Fourth Proportional to 7,101.84, 10,651.80 and 1,907.28

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Solution

The fourth proportional to 7,101.84, 10,651.80 and 1,907.28 is: 2,860.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,101.84 : 10,651.80 = 1,907.28 : x
  2. Step 2: Convert to fraction form
    7,101.84/10,651.80 = 1,907.28/x
  3. Step 3: Cross multiply
    7,101.84x = 10,651.80 × 1,907.28
  4. Step 4: Simplify right side
    7,101.84x = 20,315,965.10
  5. Step 5: Solve for x
    x = 20,315,965.10/7,101.84
  6. Step 6: Final answer
    x = 2,860.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.