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Finding the Fourth Proportional to 11,435.79, 15,782.79 and 6,960

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Solution

The fourth proportional to 11,435.79, 15,782.79 and 6,960 is: 9,605.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,435.79 : 15,782.79 = 6,960 : x
  2. Step 2: Convert to fraction form
    11,435.79/15,782.79 = 6,960/x
  3. Step 3: Cross multiply
    11,435.79x = 15,782.79 × 6,960
  4. Step 4: Simplify right side
    11,435.79x = 109,848,218.40
  5. Step 5: Solve for x
    x = 109,848,218.40/11,435.79
  6. Step 6: Final answer
    x = 9,605.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.