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Finding the Fourth Proportional to 7,688, 10,609.92 and 4,376

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Solution

The fourth proportional to 7,688, 10,609.92 and 4,376 is: 6,039.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,688 : 10,609.92 = 4,376 : x
  2. Step 2: Convert to fraction form
    7,688/10,609.92 = 4,376/x
  3. Step 3: Cross multiply
    7,688x = 10,609.92 × 4,376
  4. Step 4: Simplify right side
    7,688x = 46,429,009.92
  5. Step 5: Solve for x
    x = 46,429,009.92/7,688
  6. Step 6: Final answer
    x = 6,039.15

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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.