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Finding the Fourth Proportional to 10,658, 14,717.04 and 6,685.76

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Solution

The fourth proportional to 10,658, 14,717.04 and 6,685.76 is: 9,231.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,658 : 14,717.04 = 6,685.76 : x
  2. Step 2: Convert to fraction form
    10,658/14,717.04 = 6,685.76/x
  3. Step 3: Cross multiply
    10,658x = 14,717.04 × 6,685.76
  4. Step 4: Simplify right side
    10,658x = 98,394,597.35
  5. Step 5: Solve for x
    x = 98,394,597.35/10,658
  6. Step 6: Final answer
    x = 9,231.99

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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.