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Finding the Fourth Proportional to 7,804, 11,706.99 and 2,877.08

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Solution

The fourth proportional to 7,804, 11,706.99 and 2,877.08 is: 4,315.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804 : 11,706.99 = 2,877.08 : x
  2. Step 2: Convert to fraction form
    7,804/11,706.99 = 2,877.08/x
  3. Step 3: Cross multiply
    7,804x = 11,706.99 × 2,877.08
  4. Step 4: Simplify right side
    7,804x = 33,681,946.79
  5. Step 5: Solve for x
    x = 33,681,946.79/7,804
  6. Step 6: Final answer
    x = 4,315.98

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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.