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Finding the Fourth Proportional to 6,423.84, 9,628.56 and 4,206.92

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Solution

The fourth proportional to 6,423.84, 9,628.56 and 4,206.92 is: 6,305.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,423.84 : 9,628.56 = 4,206.92 : x
  2. Step 2: Convert to fraction form
    6,423.84/9,628.56 = 4,206.92/x
  3. Step 3: Cross multiply
    6,423.84x = 9,628.56 × 4,206.92
  4. Step 4: Simplify right side
    6,423.84x = 40,506,581.64
  5. Step 5: Solve for x
    x = 40,506,581.64/6,423.84
  6. Step 6: Final answer
    x = 6,305.66

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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.