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Finding the Fourth Proportional to 9,815.65, 14,702.92 and 7,725.75

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Solution

The fourth proportional to 9,815.65, 14,702.92 and 7,725.75 is: 11,572.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,815.65 : 14,702.92 = 7,725.75 : x
  2. Step 2: Convert to fraction form
    9,815.65/14,702.92 = 7,725.75/x
  3. Step 3: Cross multiply
    9,815.65x = 14,702.92 × 7,725.75
  4. Step 4: Simplify right side
    9,815.65x = 113,591,084.19
  5. Step 5: Solve for x
    x = 113,591,084.19/9,815.65
  6. Step 6: Final answer
    x = 11,572.45

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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.