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Finding the Fourth Proportional to 10,506.51, 15,759.77 and 7,209.61

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Solution

The fourth proportional to 10,506.51, 15,759.77 and 7,209.61 is: 10,814.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,506.51 : 15,759.77 = 7,209.61 : x
  2. Step 2: Convert to fraction form
    10,506.51/15,759.77 = 7,209.61/x
  3. Step 3: Cross multiply
    10,506.51x = 15,759.77 × 7,209.61
  4. Step 4: Simplify right side
    10,506.51x = 113,621,719.94
  5. Step 5: Solve for x
    x = 113,621,719.94/10,506.51
  6. Step 6: Final answer
    x = 10,814.41

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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.