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Finding the Fourth Proportional to 7,865.64, 11,732.82 and 6,702.89

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Solution

The fourth proportional to 7,865.64, 11,732.82 and 6,702.89 is: 9,998.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,865.64 : 11,732.82 = 6,702.89 : x
  2. Step 2: Convert to fraction form
    7,865.64/11,732.82 = 6,702.89/x
  3. Step 3: Cross multiply
    7,865.64x = 11,732.82 × 6,702.89
  4. Step 4: Simplify right side
    7,865.64x = 78,643,718.05
  5. Step 5: Solve for x
    x = 78,643,718.05/7,865.64
  6. Step 6: Final answer
    x = 9,998.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.