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Finding the Fourth Proportional to 21,013.51, 31,509.99 and 6,968.82

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Solution

The fourth proportional to 21,013.51, 31,509.99 and 6,968.82 is: 10,449.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,013.51 : 31,509.99 = 6,968.82 : x
  2. Step 2: Convert to fraction form
    21,013.51/31,509.99 = 6,968.82/x
  3. Step 3: Cross multiply
    21,013.51x = 31,509.99 × 6,968.82
  4. Step 4: Simplify right side
    21,013.51x = 219,587,448.51
  5. Step 5: Solve for x
    x = 219,587,448.51/21,013.51
  6. Step 6: Final answer
    x = 10,449.82

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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.