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Finding the Fourth Proportional to 4,919.99, 7,380.27 and 1,457.51

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Solution

The fourth proportional to 4,919.99, 7,380.27 and 1,457.51 is: 2,186.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,919.99 : 7,380.27 = 1,457.51 : x
  2. Step 2: Convert to fraction form
    4,919.99/7,380.27 = 1,457.51/x
  3. Step 3: Cross multiply
    4,919.99x = 7,380.27 × 1,457.51
  4. Step 4: Simplify right side
    4,919.99x = 10,756,780.43
  5. Step 5: Solve for x
    x = 10,756,780.43/4,919.99
  6. Step 6: Final answer
    x = 2,186.34

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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.