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Finding the Fourth Proportional to 14,507.91, 21,765.11 and 5,742.90

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Solution

The fourth proportional to 14,507.91, 21,765.11 and 5,742.90 is: 8,615.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,507.91 : 21,765.11 = 5,742.90 : x
  2. Step 2: Convert to fraction form
    14,507.91/21,765.11 = 5,742.90/x
  3. Step 3: Cross multiply
    14,507.91x = 21,765.11 × 5,742.90
  4. Step 4: Simplify right side
    14,507.91x = 124,994,821.50
  5. Step 5: Solve for x
    x = 124,994,821.50/14,507.91
  6. Step 6: Final answer
    x = 8,615.63

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1.5x scale

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.