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Finding the Fourth Proportional to 1,885.90, 2,604.95 and 1,449.16

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Solution

The fourth proportional to 1,885.90, 2,604.95 and 1,449.16 is: 2,001.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,885.90 : 2,604.95 = 1,449.16 : x
  2. Step 2: Convert to fraction form
    1,885.90/2,604.95 = 1,449.16/x
  3. Step 3: Cross multiply
    1,885.90x = 2,604.95 × 1,449.16
  4. Step 4: Simplify right side
    1,885.90x = 3,774,982.10
  5. Step 5: Solve for x
    x = 3,774,982.10/1,885.90
  6. Step 6: Final answer
    x = 2,001.69

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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.