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Finding the Fourth Proportional to 3,123.04, 4,686.18 and 1,827.04

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Solution

The fourth proportional to 3,123.04, 4,686.18 and 1,827.04 is: 2,741.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123.04 : 4,686.18 = 1,827.04 : x
  2. Step 2: Convert to fraction form
    3,123.04/4,686.18 = 1,827.04/x
  3. Step 3: Cross multiply
    3,123.04x = 4,686.18 × 1,827.04
  4. Step 4: Simplify right side
    3,123.04x = 8,561,838.31
  5. Step 5: Solve for x
    x = 8,561,838.31/3,123.04
  6. Step 6: Final answer
    x = 2,741.51

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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.