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Finding the Fourth Proportional to 12,688, 19,039.68 and 5,292.16

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Solution

The fourth proportional to 12,688, 19,039.68 and 5,292.16 is: 7,941.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,688 : 19,039.68 = 5,292.16 : x
  2. Step 2: Convert to fraction form
    12,688/19,039.68 = 5,292.16/x
  3. Step 3: Cross multiply
    12,688x = 19,039.68 × 5,292.16
  4. Step 4: Simplify right side
    12,688x = 100,761,032.91
  5. Step 5: Solve for x
    x = 100,761,032.91/12,688
  6. Step 6: Final answer
    x = 7,941.44

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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.