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Finding the Fourth Proportional to 12,689.74, 17,495.06 and 10,412.74

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Solution

The fourth proportional to 12,689.74, 17,495.06 and 10,412.74 is: 14,355.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,689.74 : 17,495.06 = 10,412.74 : x
  2. Step 2: Convert to fraction form
    12,689.74/17,495.06 = 10,412.74/x
  3. Step 3: Cross multiply
    12,689.74x = 17,495.06 × 10,412.74
  4. Step 4: Simplify right side
    12,689.74x = 182,171,511.06
  5. Step 5: Solve for x
    x = 182,171,511.06/12,689.74
  6. Step 6: Final answer
    x = 14,355.81

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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.