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Finding the Fourth Proportional to 12,951.81, 17,874.16 and 7,646.51

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Solution

The fourth proportional to 12,951.81, 17,874.16 and 7,646.51 is: 10,552.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,951.81 : 17,874.16 = 7,646.51 : x
  2. Step 2: Convert to fraction form
    12,951.81/17,874.16 = 7,646.51/x
  3. Step 3: Cross multiply
    12,951.81x = 17,874.16 × 7,646.51
  4. Step 4: Simplify right side
    12,951.81x = 136,674,981.54
  5. Step 5: Solve for x
    x = 136,674,981.54/12,951.81
  6. Step 6: Final answer
    x = 10,552.58

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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.