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Finding the Fourth Proportional to 1,812.99, 2,507.19 and 1,780.20

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Solution

The fourth proportional to 1,812.99, 2,507.19 and 1,780.20 is: 2,461.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,812.99 : 2,507.19 = 1,780.20 : x
  2. Step 2: Convert to fraction form
    1,812.99/2,507.19 = 1,780.20/x
  3. Step 3: Cross multiply
    1,812.99x = 2,507.19 × 1,780.20
  4. Step 4: Simplify right side
    1,812.99x = 4,463,299.64
  5. Step 5: Solve for x
    x = 4,463,299.64/1,812.99
  6. Step 6: Final answer
    x = 2,461.84

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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.