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Finding the Fourth Proportional to 11,640.71, 17,461.07 and 9,580.39

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Solution

The fourth proportional to 11,640.71, 17,461.07 and 9,580.39 is: 14,370.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,640.71 : 17,461.07 = 9,580.39 : x
  2. Step 2: Convert to fraction form
    11,640.71/17,461.07 = 9,580.39/x
  3. Step 3: Cross multiply
    11,640.71x = 17,461.07 × 9,580.39
  4. Step 4: Simplify right side
    11,640.71x = 167,283,860.42
  5. Step 5: Solve for x
    x = 167,283,860.42/11,640.71
  6. Step 6: Final answer
    x = 14,370.59

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1.5x scale

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.