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Finding the Fourth Proportional to 7,319, 10,950.96 and 5,132

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Solution

The fourth proportional to 7,319, 10,950.96 and 5,132 is: 7,678.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,319 : 10,950.96 = 5,132 : x
  2. Step 2: Convert to fraction form
    7,319/10,950.96 = 5,132/x
  3. Step 3: Cross multiply
    7,319x = 10,950.96 × 5,132
  4. Step 4: Simplify right side
    7,319x = 56,200,326.72
  5. Step 5: Solve for x
    x = 56,200,326.72/7,319
  6. Step 6: Final answer
    x = 7,678.69

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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.