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Finding the Fourth Proportional to 7,872.72, 11,810.16 and 2,941.20

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Solution

The fourth proportional to 7,872.72, 11,810.16 and 2,941.20 is: 4,412.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.72 : 11,810.16 = 2,941.20 : x
  2. Step 2: Convert to fraction form
    7,872.72/11,810.16 = 2,941.20/x
  3. Step 3: Cross multiply
    7,872.72x = 11,810.16 × 2,941.20
  4. Step 4: Simplify right side
    7,872.72x = 34,736,042.59
  5. Step 5: Solve for x
    x = 34,736,042.59/7,872.72
  6. Step 6: Final answer
    x = 4,412.20

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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.