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Finding the Fourth Proportional to 13,751.64, 18,977.15 and 7,464.02

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Solution

The fourth proportional to 13,751.64, 18,977.15 and 7,464.02 is: 10,300.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,751.64 : 18,977.15 = 7,464.02 : x
  2. Step 2: Convert to fraction form
    13,751.64/18,977.15 = 7,464.02/x
  3. Step 3: Cross multiply
    13,751.64x = 18,977.15 × 7,464.02
  4. Step 4: Simplify right side
    13,751.64x = 141,645,750.92
  5. Step 5: Solve for x
    x = 141,645,750.92/13,751.64
  6. Step 6: Final answer
    x = 10,300.28

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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.