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Finding the Fourth Proportional to 13,907.84, 20,862.56 and 4,046.90

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Solution

The fourth proportional to 13,907.84, 20,862.56 and 4,046.90 is: 6,070.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,907.84 : 20,862.56 = 4,046.90 : x
  2. Step 2: Convert to fraction form
    13,907.84/20,862.56 = 4,046.90/x
  3. Step 3: Cross multiply
    13,907.84x = 20,862.56 × 4,046.90
  4. Step 4: Simplify right side
    13,907.84x = 84,428,599.87
  5. Step 5: Solve for x
    x = 84,428,599.87/13,907.84
  6. Step 6: Final answer
    x = 6,070.58

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