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Finding the Fourth Proportional to 7,800.56, 11,702.01 and 2,869.82

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Solution

The fourth proportional to 7,800.56, 11,702.01 and 2,869.82 is: 4,305.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,800.56 : 11,702.01 = 2,869.82 : x
  2. Step 2: Convert to fraction form
    7,800.56/11,702.01 = 2,869.82/x
  3. Step 3: Cross multiply
    7,800.56x = 11,702.01 × 2,869.82
  4. Step 4: Simplify right side
    7,800.56x = 33,582,683.31
  5. Step 5: Solve for x
    x = 33,582,683.31/7,800.56
  6. Step 6: Final answer
    x = 4,305.16

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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.