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Finding the Fourth Proportional to 3,471.60, 4,756.38 and 3,423

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Solution

The fourth proportional to 3,471.60, 4,756.38 and 3,423 is: 4,689.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.60 : 4,756.38 = 3,423 : x
  2. Step 2: Convert to fraction form
    3,471.60/4,756.38 = 3,423/x
  3. Step 3: Cross multiply
    3,471.60x = 4,756.38 × 3,423
  4. Step 4: Simplify right side
    3,471.60x = 16,281,088.74
  5. Step 5: Solve for x
    x = 16,281,088.74/3,471.60
  6. Step 6: Final answer
    x = 4,689.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.