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Finding the Fourth Proportional to 10,476.90, 15,692.13 and 6,083.46

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Solution

The fourth proportional to 10,476.90, 15,692.13 and 6,083.46 is: 9,111.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,476.90 : 15,692.13 = 6,083.46 : x
  2. Step 2: Convert to fraction form
    10,476.90/15,692.13 = 6,083.46/x
  3. Step 3: Cross multiply
    10,476.90x = 15,692.13 × 6,083.46
  4. Step 4: Simplify right side
    10,476.90x = 95,462,445.17
  5. Step 5: Solve for x
    x = 95,462,445.17/10,476.90
  6. Step 6: Final answer
    x = 9,111.71

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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.