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Finding the Fourth Proportional to 4,221.80, 6,332.10 and 1,300.40

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Solution

The fourth proportional to 4,221.80, 6,332.10 and 1,300.40 is: 1,950.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,221.80 : 6,332.10 = 1,300.40 : x
  2. Step 2: Convert to fraction form
    4,221.80/6,332.10 = 1,300.40/x
  3. Step 3: Cross multiply
    4,221.80x = 6,332.10 × 1,300.40
  4. Step 4: Simplify right side
    4,221.80x = 8,234,262.84
  5. Step 5: Solve for x
    x = 8,234,262.84/4,221.80
  6. Step 6: Final answer
    x = 1,950.42

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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.