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Finding the Fourth Proportional to 10,178, 14,045.64 and 5,762

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Solution

The fourth proportional to 10,178, 14,045.64 and 5,762 is: 7,951.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,178 : 14,045.64 = 5,762 : x
  2. Step 2: Convert to fraction form
    10,178/14,045.64 = 5,762/x
  3. Step 3: Cross multiply
    10,178x = 14,045.64 × 5,762
  4. Step 4: Simplify right side
    10,178x = 80,930,977.68
  5. Step 5: Solve for x
    x = 80,930,977.68/10,178
  6. Step 6: Final answer
    x = 7,951.56

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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.