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Finding the Fourth Proportional to 9,968.86, 14,953.30 and 8,685.82

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Solution

The fourth proportional to 9,968.86, 14,953.30 and 8,685.82 is: 13,028.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,968.86 : 14,953.30 = 8,685.82 : x
  2. Step 2: Convert to fraction form
    9,968.86/14,953.30 = 8,685.82/x
  3. Step 3: Cross multiply
    9,968.86x = 14,953.30 × 8,685.82
  4. Step 4: Simplify right side
    9,968.86x = 129,881,672.21
  5. Step 5: Solve for x
    x = 129,881,672.21/9,968.86
  6. Step 6: Final answer
    x = 13,028.74

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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.