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Finding the Fourth Proportional to 3,423.89, 4,724.89 and 1,931.77

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Solution

The fourth proportional to 3,423.89, 4,724.89 and 1,931.77 is: 2,665.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,423.89 : 4,724.89 = 1,931.77 : x
  2. Step 2: Convert to fraction form
    3,423.89/4,724.89 = 1,931.77/x
  3. Step 3: Cross multiply
    3,423.89x = 4,724.89 × 1,931.77
  4. Step 4: Simplify right side
    3,423.89x = 9,127,400.76
  5. Step 5: Solve for x
    x = 9,127,400.76/3,423.89
  6. Step 6: Final answer
    x = 2,665.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.