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Finding the Fourth Proportional to 3,485.79, 5,230.71 and 1,406.70

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Solution

The fourth proportional to 3,485.79, 5,230.71 and 1,406.70 is: 2,110.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485.79 : 5,230.71 = 1,406.70 : x
  2. Step 2: Convert to fraction form
    3,485.79/5,230.71 = 1,406.70/x
  3. Step 3: Cross multiply
    3,485.79x = 5,230.71 × 1,406.70
  4. Step 4: Simplify right side
    3,485.79x = 7,358,039.76
  5. Step 5: Solve for x
    x = 7,358,039.76/3,485.79
  6. Step 6: Final answer
    x = 2,110.87

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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.