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Finding the Fourth Proportional to 10,688, 16,029.80 and 4,111.92

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Solution

The fourth proportional to 10,688, 16,029.80 and 4,111.92 is: 6,167.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,688 : 16,029.80 = 4,111.92 : x
  2. Step 2: Convert to fraction form
    10,688/16,029.80 = 4,111.92/x
  3. Step 3: Cross multiply
    10,688x = 16,029.80 × 4,111.92
  4. Step 4: Simplify right side
    10,688x = 65,913,255.22
  5. Step 5: Solve for x
    x = 65,913,255.22/10,688
  6. Step 6: Final answer
    x = 6,167.03

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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.