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Finding the Fourth Proportional to 12,706.96, 17,519.34 and 9,869.53

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Solution

The fourth proportional to 12,706.96, 17,519.34 and 9,869.53 is: 13,607.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,706.96 : 17,519.34 = 9,869.53 : x
  2. Step 2: Convert to fraction form
    12,706.96/17,519.34 = 9,869.53/x
  3. Step 3: Cross multiply
    12,706.96x = 17,519.34 × 9,869.53
  4. Step 4: Simplify right side
    12,706.96x = 172,907,651.71
  5. Step 5: Solve for x
    x = 172,907,651.71/12,706.96
  6. Step 6: Final answer
    x = 13,607.32

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1.5x scale

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.