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Finding the Fourth Proportional to 9,122.65, 13,657.31 and 8,247.16

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Solution

The fourth proportional to 9,122.65, 13,657.31 and 8,247.16 is: 12,346.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,122.65 : 13,657.31 = 8,247.16 : x
  2. Step 2: Convert to fraction form
    9,122.65/13,657.31 = 8,247.16/x
  3. Step 3: Cross multiply
    9,122.65x = 13,657.31 × 8,247.16
  4. Step 4: Simplify right side
    9,122.65x = 112,634,027.50
  5. Step 5: Solve for x
    x = 112,634,027.50/9,122.65
  6. Step 6: Final answer
    x = 12,346.64

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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.