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Finding the Fourth Proportional to 7,176.63, 9,907.11 and 4,790.63

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Solution

The fourth proportional to 7,176.63, 9,907.11 and 4,790.63 is: 6,613.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,176.63 : 9,907.11 = 4,790.63 : x
  2. Step 2: Convert to fraction form
    7,176.63/9,907.11 = 4,790.63/x
  3. Step 3: Cross multiply
    7,176.63x = 9,907.11 × 4,790.63
  4. Step 4: Simplify right side
    7,176.63x = 47,461,298.38
  5. Step 5: Solve for x
    x = 47,461,298.38/7,176.63
  6. Step 6: Final answer
    x = 6,613.31

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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.