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Finding the Fourth Proportional to 7,689, 11,533.50 and 2,494.88

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Solution

The fourth proportional to 7,689, 11,533.50 and 2,494.88 is: 3,742.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,689 : 11,533.50 = 2,494.88 : x
  2. Step 2: Convert to fraction form
    7,689/11,533.50 = 2,494.88/x
  3. Step 3: Cross multiply
    7,689x = 11,533.50 × 2,494.88
  4. Step 4: Simplify right side
    7,689x = 28,774,698.48
  5. Step 5: Solve for x
    x = 28,774,698.48/7,689
  6. Step 6: Final answer
    x = 3,742.32

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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.