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Finding the Fourth Proportional to 10,378, 14,322.84 and 5,902.42

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Solution

The fourth proportional to 10,378, 14,322.84 and 5,902.42 is: 8,146.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,378 : 14,322.84 = 5,902.42 : x
  2. Step 2: Convert to fraction form
    10,378/14,322.84 = 5,902.42/x
  3. Step 3: Cross multiply
    10,378x = 14,322.84 × 5,902.42
  4. Step 4: Simplify right side
    10,378x = 84,539,417.27
  5. Step 5: Solve for x
    x = 84,539,417.27/10,378
  6. Step 6: Final answer
    x = 8,146.02

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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.