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Finding the Fourth Proportional to 15,537.61, 21,435.07 and 10,500

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Solution

The fourth proportional to 15,537.61, 21,435.07 and 10,500 is: 14,485.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,537.61 : 21,435.07 = 10,500 : x
  2. Step 2: Convert to fraction form
    15,537.61/21,435.07 = 10,500/x
  3. Step 3: Cross multiply
    15,537.61x = 21,435.07 × 10,500
  4. Step 4: Simplify right side
    15,537.61x = 225,068,235
  5. Step 5: Solve for x
    x = 225,068,235/15,537.61
  6. Step 6: Final answer
    x = 14,485.38

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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.