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Finding the Fourth Proportional to 7,872.08, 11,810.80 and 4,946.96

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Solution

The fourth proportional to 7,872.08, 11,810.80 and 4,946.96 is: 7,422.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.08 : 11,810.80 = 4,946.96 : x
  2. Step 2: Convert to fraction form
    7,872.08/11,810.80 = 4,946.96/x
  3. Step 3: Cross multiply
    7,872.08x = 11,810.80 × 4,946.96
  4. Step 4: Simplify right side
    7,872.08x = 58,427,555.17
  5. Step 5: Solve for x
    x = 58,427,555.17/7,872.08
  6. Step 6: Final answer
    x = 7,422.12

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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.