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Finding the Fourth Proportional to 1,885.09, 2,842.10 and 1,758.05

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Solution

The fourth proportional to 1,885.09, 2,842.10 and 1,758.05 is: 2,650.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,885.09 : 2,842.10 = 1,758.05 : x
  2. Step 2: Convert to fraction form
    1,885.09/2,842.10 = 1,758.05/x
  3. Step 3: Cross multiply
    1,885.09x = 2,842.10 × 1,758.05
  4. Step 4: Simplify right side
    1,885.09x = 4,996,539.69
  5. Step 5: Solve for x
    x = 4,996,539.69/1,885.09
  6. Step 6: Final answer
    x = 2,650.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.