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Finding the Fourth Proportional to 10,903.13, 16,357.13 and 3,977.63

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Solution

The fourth proportional to 10,903.13, 16,357.13 and 3,977.63 is: 5,967.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,903.13 : 16,357.13 = 3,977.63 : x
  2. Step 2: Convert to fraction form
    10,903.13/16,357.13 = 3,977.63/x
  3. Step 3: Cross multiply
    10,903.13x = 16,357.13 × 3,977.63
  4. Step 4: Simplify right side
    10,903.13x = 65,062,509.33
  5. Step 5: Solve for x
    x = 65,062,509.33/10,903.13
  6. Step 6: Final answer
    x = 5,967.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.