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Finding the Fourth Proportional to 10,857.95, 14,984.28 and 6,142.13

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Solution

The fourth proportional to 10,857.95, 14,984.28 and 6,142.13 is: 8,476.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,857.95 : 14,984.28 = 6,142.13 : x
  2. Step 2: Convert to fraction form
    10,857.95/14,984.28 = 6,142.13/x
  3. Step 3: Cross multiply
    10,857.95x = 14,984.28 × 6,142.13
  4. Step 4: Simplify right side
    10,857.95x = 92,035,320.80
  5. Step 5: Solve for x
    x = 92,035,320.80/10,857.95
  6. Step 6: Final answer
    x = 8,476.31

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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.