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Finding the Fourth Proportional to 3,123.76, 4,684.12 and 931.84

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Solution

The fourth proportional to 3,123.76, 4,684.12 and 931.84 is: 1,397.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123.76 : 4,684.12 = 931.84 : x
  2. Step 2: Convert to fraction form
    3,123.76/4,684.12 = 931.84/x
  3. Step 3: Cross multiply
    3,123.76x = 4,684.12 × 931.84
  4. Step 4: Simplify right side
    3,123.76x = 4,364,850.38
  5. Step 5: Solve for x
    x = 4,364,850.38/3,123.76
  6. Step 6: Final answer
    x = 1,397.31

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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.