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Finding the Fourth Proportional to 1,827.79, 2,742.90 and 853.97

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Solution

The fourth proportional to 1,827.79, 2,742.90 and 853.97 is: 1,281.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.79 : 2,742.90 = 853.97 : x
  2. Step 2: Convert to fraction form
    1,827.79/2,742.90 = 853.97/x
  3. Step 3: Cross multiply
    1,827.79x = 2,742.90 × 853.97
  4. Step 4: Simplify right side
    1,827.79x = 2,342,347.46
  5. Step 5: Solve for x
    x = 2,342,347.46/1,827.79
  6. Step 6: Final answer
    x = 1,281.52

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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.