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Finding the Fourth Proportional to 7,217.83, 9,954.39 and 4,699

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Solution

The fourth proportional to 7,217.83, 9,954.39 and 4,699 is: 6,480.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,217.83 : 9,954.39 = 4,699 : x
  2. Step 2: Convert to fraction form
    7,217.83/9,954.39 = 4,699/x
  3. Step 3: Cross multiply
    7,217.83x = 9,954.39 × 4,699
  4. Step 4: Simplify right side
    7,217.83x = 46,775,678.61
  5. Step 5: Solve for x
    x = 46,775,678.61/7,217.83
  6. Step 6: Final answer
    x = 6,480.57

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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.