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Finding the Fourth Proportional to 12,609.76, 17,403.54 and 9,619.94

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Solution

The fourth proportional to 12,609.76, 17,403.54 and 9,619.94 is: 13,277.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,609.76 : 17,403.54 = 9,619.94 : x
  2. Step 2: Convert to fraction form
    12,609.76/17,403.54 = 9,619.94/x
  3. Step 3: Cross multiply
    12,609.76x = 17,403.54 × 9,619.94
  4. Step 4: Simplify right side
    12,609.76x = 167,421,010.59
  5. Step 5: Solve for x
    x = 167,421,010.59/12,609.76
  6. Step 6: Final answer
    x = 13,277.10

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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.