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Finding the Fourth Proportional to 13,751.88, 18,977.38 and 7,464.20

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Solution

The fourth proportional to 13,751.88, 18,977.38 and 7,464.20 is: 10,300.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,751.88 : 18,977.38 = 7,464.20 : x
  2. Step 2: Convert to fraction form
    13,751.88/18,977.38 = 7,464.20/x
  3. Step 3: Cross multiply
    13,751.88x = 18,977.38 × 7,464.20
  4. Step 4: Simplify right side
    13,751.88x = 141,650,959.80
  5. Step 5: Solve for x
    x = 141,650,959.80/13,751.88
  6. Step 6: Final answer
    x = 10,300.48

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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.