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Finding the Fourth Proportional to 5,665.34, 7,815.99 and 4,176.80

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Solution

The fourth proportional to 5,665.34, 7,815.99 and 4,176.80 is: 5,762.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,665.34 : 7,815.99 = 4,176.80 : x
  2. Step 2: Convert to fraction form
    5,665.34/7,815.99 = 4,176.80/x
  3. Step 3: Cross multiply
    5,665.34x = 7,815.99 × 4,176.80
  4. Step 4: Simplify right side
    5,665.34x = 32,645,827.03
  5. Step 5: Solve for x
    x = 32,645,827.03/5,665.34
  6. Step 6: Final answer
    x = 5,762.38

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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.