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Finding the Fourth Proportional to 11,530.65, 15,913.07 and 6,426.96

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Solution

The fourth proportional to 11,530.65, 15,913.07 and 6,426.96 is: 8,869.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,530.65 : 15,913.07 = 6,426.96 : x
  2. Step 2: Convert to fraction form
    11,530.65/15,913.07 = 6,426.96/x
  3. Step 3: Cross multiply
    11,530.65x = 15,913.07 × 6,426.96
  4. Step 4: Simplify right side
    11,530.65x = 102,272,664.37
  5. Step 5: Solve for x
    x = 102,272,664.37/11,530.65
  6. Step 6: Final answer
    x = 8,869.64

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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.