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Finding the Fourth Proportional to 10,718, 14,774.64 and 9,217.88

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Solution

The fourth proportional to 10,718, 14,774.64 and 9,217.88 is: 12,706.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,718 : 14,774.64 = 9,217.88 : x
  2. Step 2: Convert to fraction form
    10,718/14,774.64 = 9,217.88/x
  3. Step 3: Cross multiply
    10,718x = 14,774.64 × 9,217.88
  4. Step 4: Simplify right side
    10,718x = 136,190,858.56
  5. Step 5: Solve for x
    x = 136,190,858.56/10,718
  6. Step 6: Final answer
    x = 12,706.74

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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.