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Finding the Fourth Proportional to 7,728, 10,665.28 and 4,416.64

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Solution

The fourth proportional to 7,728, 10,665.28 and 4,416.64 is: 6,095.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728 : 10,665.28 = 4,416.64 : x
  2. Step 2: Convert to fraction form
    7,728/10,665.28 = 4,416.64/x
  3. Step 3: Cross multiply
    7,728x = 10,665.28 × 4,416.64
  4. Step 4: Simplify right side
    7,728x = 47,104,702.26
  5. Step 5: Solve for x
    x = 47,104,702.26/7,728
  6. Step 6: Final answer
    x = 6,095.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.