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Finding the Fourth Proportional to 4,142.80, 6,213.12 and 1,950.40

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Solution

The fourth proportional to 4,142.80, 6,213.12 and 1,950.40 is: 2,925.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,142.80 : 6,213.12 = 1,950.40 : x
  2. Step 2: Convert to fraction form
    4,142.80/6,213.12 = 1,950.40/x
  3. Step 3: Cross multiply
    4,142.80x = 6,213.12 × 1,950.40
  4. Step 4: Simplify right side
    4,142.80x = 12,118,069.25
  5. Step 5: Solve for x
    x = 12,118,069.25/4,142.80
  6. Step 6: Final answer
    x = 2,925.09

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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.