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Finding the Fourth Proportional to 9,156.65, 13,702.16 and 7,928.28

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Solution

The fourth proportional to 9,156.65, 13,702.16 and 7,928.28 is: 11,864.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,156.65 : 13,702.16 = 7,928.28 : x
  2. Step 2: Convert to fraction form
    9,156.65/13,702.16 = 7,928.28/x
  3. Step 3: Cross multiply
    9,156.65x = 13,702.16 × 7,928.28
  4. Step 4: Simplify right side
    9,156.65x = 108,634,580.91
  5. Step 5: Solve for x
    x = 108,634,580.91/9,156.65
  6. Step 6: Final answer
    x = 11,864.02

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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.