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Finding the Fourth Proportional to 10,057.42, 13,878.75 and 5,865.58

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Solution

The fourth proportional to 10,057.42, 13,878.75 and 5,865.58 is: 8,094.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,057.42 : 13,878.75 = 5,865.58 : x
  2. Step 2: Convert to fraction form
    10,057.42/13,878.75 = 5,865.58/x
  3. Step 3: Cross multiply
    10,057.42x = 13,878.75 × 5,865.58
  4. Step 4: Simplify right side
    10,057.42x = 81,406,918.43
  5. Step 5: Solve for x
    x = 81,406,918.43/10,057.42
  6. Step 6: Final answer
    x = 8,094.21

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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.