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Finding the Fourth Proportional to 7,296, 10,068.48 and 6,709.76

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Solution

The fourth proportional to 7,296, 10,068.48 and 6,709.76 is: 9,259.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,296 : 10,068.48 = 6,709.76 : x
  2. Step 2: Convert to fraction form
    7,296/10,068.48 = 6,709.76/x
  3. Step 3: Cross multiply
    7,296x = 10,068.48 × 6,709.76
  4. Step 4: Simplify right side
    7,296x = 67,557,084.36
  5. Step 5: Solve for x
    x = 67,557,084.36/7,296
  6. Step 6: Final answer
    x = 9,259.47

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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.