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Finding the Fourth Proportional to 9,178, 12,659.88 and 7,319.44

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Solution

The fourth proportional to 9,178, 12,659.88 and 7,319.44 is: 10,096.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,178 : 12,659.88 = 7,319.44 : x
  2. Step 2: Convert to fraction form
    9,178/12,659.88 = 7,319.44/x
  3. Step 3: Cross multiply
    9,178x = 12,659.88 × 7,319.44
  4. Step 4: Simplify right side
    9,178x = 92,663,232.07
  5. Step 5: Solve for x
    x = 92,663,232.07/9,178
  6. Step 6: Final answer
    x = 10,096.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.