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Finding the Fourth Proportional to 9,678.61, 14,529.48 and 7,728.36

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Solution

The fourth proportional to 9,678.61, 14,529.48 and 7,728.36 is: 11,601.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678.61 : 14,529.48 = 7,728.36 : x
  2. Step 2: Convert to fraction form
    9,678.61/14,529.48 = 7,728.36/x
  3. Step 3: Cross multiply
    9,678.61x = 14,529.48 × 7,728.36
  4. Step 4: Simplify right side
    9,678.61x = 112,289,052.05
  5. Step 5: Solve for x
    x = 112,289,052.05/9,678.61
  6. Step 6: Final answer
    x = 11,601.77

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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.