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Finding the Fourth Proportional to 9,935.10, 14,888.64 and 7,845.90

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Solution

The fourth proportional to 9,935.10, 14,888.64 and 7,845.90 is: 11,757.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,935.10 : 14,888.64 = 7,845.90 : x
  2. Step 2: Convert to fraction form
    9,935.10/14,888.64 = 7,845.90/x
  3. Step 3: Cross multiply
    9,935.10x = 14,888.64 × 7,845.90
  4. Step 4: Simplify right side
    9,935.10x = 116,814,780.58
  5. Step 5: Solve for x
    x = 116,814,780.58/9,935.10
  6. Step 6: Final answer
    x = 11,757.79

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Why These Related Problems?

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