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Finding the Fourth Proportional to 10,043.10, 13,872.69 and 7,714.02

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Solution

The fourth proportional to 10,043.10, 13,872.69 and 7,714.02 is: 10,655.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,043.10 : 13,872.69 = 7,714.02 : x
  2. Step 2: Convert to fraction form
    10,043.10/13,872.69 = 7,714.02/x
  3. Step 3: Cross multiply
    10,043.10x = 13,872.69 × 7,714.02
  4. Step 4: Simplify right side
    10,043.10x = 107,014,208.11
  5. Step 5: Solve for x
    x = 107,014,208.11/10,043.10
  6. Step 6: Final answer
    x = 10,655.50

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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.