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Finding the Fourth Proportional to 21,318.65, 31,978.02 and 6,527.51

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Solution

The fourth proportional to 21,318.65, 31,978.02 and 6,527.51 is: 9,791.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,318.65 : 31,978.02 = 6,527.51 : x
  2. Step 2: Convert to fraction form
    21,318.65/31,978.02 = 6,527.51/x
  3. Step 3: Cross multiply
    21,318.65x = 31,978.02 × 6,527.51
  4. Step 4: Simplify right side
    21,318.65x = 208,736,685.44
  5. Step 5: Solve for x
    x = 208,736,685.44/21,318.65
  6. Step 6: Final answer
    x = 9,791.27

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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.