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Finding the Fourth Proportional to 7,008.80, 9,672.16 and 3,864.96

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Solution

The fourth proportional to 7,008.80, 9,672.16 and 3,864.96 is: 5,333.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,008.80 : 9,672.16 = 3,864.96 : x
  2. Step 2: Convert to fraction form
    7,008.80/9,672.16 = 3,864.96/x
  3. Step 3: Cross multiply
    7,008.80x = 9,672.16 × 3,864.96
  4. Step 4: Simplify right side
    7,008.80x = 37,382,511.51
  5. Step 5: Solve for x
    x = 37,382,511.51/7,008.80
  6. Step 6: Final answer
    x = 5,333.65

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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.