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Finding the Fourth Proportional to 10,173.72, 14,040 and 5,697.45

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Solution

The fourth proportional to 10,173.72, 14,040 and 5,697.45 is: 7,862.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,173.72 : 14,040 = 5,697.45 : x
  2. Step 2: Convert to fraction form
    10,173.72/14,040 = 5,697.45/x
  3. Step 3: Cross multiply
    10,173.72x = 14,040 × 5,697.45
  4. Step 4: Simplify right side
    10,173.72x = 79,992,198
  5. Step 5: Solve for x
    x = 79,992,198/10,173.72
  6. Step 6: Final answer
    x = 7,862.63

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1.5x scale

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.