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Finding the Fourth Proportional to 9,156.76, 13,702.32 and 7,928.44

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Solution

The fourth proportional to 9,156.76, 13,702.32 and 7,928.44 is: 11,864.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,156.76 : 13,702.32 = 7,928.44 : x
  2. Step 2: Convert to fraction form
    9,156.76/13,702.32 = 7,928.44/x
  3. Step 3: Cross multiply
    9,156.76x = 13,702.32 × 7,928.44
  4. Step 4: Simplify right side
    9,156.76x = 108,638,021.98
  5. Step 5: Solve for x
    x = 108,638,021.98/9,156.76
  6. Step 6: Final answer
    x = 11,864.24

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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.