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Finding the Fourth Proportional to 1,885.79, 2,828.48 and 1,154.09

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Solution

The fourth proportional to 1,885.79, 2,828.48 and 1,154.09 is: 1,731.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,885.79 : 2,828.48 = 1,154.09 : x
  2. Step 2: Convert to fraction form
    1,885.79/2,828.48 = 1,154.09/x
  3. Step 3: Cross multiply
    1,885.79x = 2,828.48 × 1,154.09
  4. Step 4: Simplify right side
    1,885.79x = 3,264,300.57
  5. Step 5: Solve for x
    x = 3,264,300.57/1,885.79
  6. Step 6: Final answer
    x = 1,731.00

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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.