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Finding the Fourth Proportional to 3,415.79, 5,123.12 and 950.86

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Solution

The fourth proportional to 3,415.79, 5,123.12 and 950.86 is: 1,426.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.79 : 5,123.12 = 950.86 : x
  2. Step 2: Convert to fraction form
    3,415.79/5,123.12 = 950.86/x
  3. Step 3: Cross multiply
    3,415.79x = 5,123.12 × 950.86
  4. Step 4: Simplify right side
    3,415.79x = 4,871,369.88
  5. Step 5: Solve for x
    x = 4,871,369.88/3,415.79
  6. Step 6: Final answer
    x = 1,426.13

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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.