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Finding the Fourth Proportional to 7,689.64, 11,523.24 and 4,359.76

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Solution

The fourth proportional to 7,689.64, 11,523.24 and 4,359.76 is: 6,533.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,689.64 : 11,523.24 = 4,359.76 : x
  2. Step 2: Convert to fraction form
    7,689.64/11,523.24 = 4,359.76/x
  3. Step 3: Cross multiply
    7,689.64x = 11,523.24 × 4,359.76
  4. Step 4: Simplify right side
    7,689.64x = 50,238,560.82
  5. Step 5: Solve for x
    x = 50,238,560.82/7,689.64
  6. Step 6: Final answer
    x = 6,533.28

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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.