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Finding the Fourth Proportional to 9,679.64, 14,524.32 and 7,219.40

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Solution

The fourth proportional to 9,679.64, 14,524.32 and 7,219.40 is: 10,832.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,679.64 : 14,524.32 = 7,219.40 : x
  2. Step 2: Convert to fraction form
    9,679.64/14,524.32 = 7,219.40/x
  3. Step 3: Cross multiply
    9,679.64x = 14,524.32 × 7,219.40
  4. Step 4: Simplify right side
    9,679.64x = 104,856,875.81
  5. Step 5: Solve for x
    x = 104,856,875.81/9,679.64
  6. Step 6: Final answer
    x = 10,832.72

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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.