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Finding the Fourth Proportional to 16,007.40, 24,007.90 and 7,687.40

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Solution

The fourth proportional to 16,007.40, 24,007.90 and 7,687.40 is: 11,529.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,007.40 : 24,007.90 = 7,687.40 : x
  2. Step 2: Convert to fraction form
    16,007.40/24,007.90 = 7,687.40/x
  3. Step 3: Cross multiply
    16,007.40x = 24,007.90 × 7,687.40
  4. Step 4: Simplify right side
    16,007.40x = 184,558,330.46
  5. Step 5: Solve for x
    x = 184,558,330.46/16,007.40
  6. Step 6: Final answer
    x = 11,529.56

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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.