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Finding the Fourth Proportional to 7,006.72, 9,669.36 and 4,644.64

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Solution

The fourth proportional to 7,006.72, 9,669.36 and 4,644.64 is: 6,409.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,006.72 : 9,669.36 = 4,644.64 : x
  2. Step 2: Convert to fraction form
    7,006.72/9,669.36 = 4,644.64/x
  3. Step 3: Cross multiply
    7,006.72x = 9,669.36 × 4,644.64
  4. Step 4: Simplify right side
    7,006.72x = 44,910,696.23
  5. Step 5: Solve for x
    x = 44,910,696.23/7,006.72
  6. Step 6: Final answer
    x = 6,409.66

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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.