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Finding the Fourth Proportional to 11,606.38, 15,980.94 and 9,064.40

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Solution

The fourth proportional to 11,606.38, 15,980.94 and 9,064.40 is: 12,480.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,606.38 : 15,980.94 = 9,064.40 : x
  2. Step 2: Convert to fraction form
    11,606.38/15,980.94 = 9,064.40/x
  3. Step 3: Cross multiply
    11,606.38x = 15,980.94 × 9,064.40
  4. Step 4: Simplify right side
    11,606.38x = 144,857,666.57
  5. Step 5: Solve for x
    x = 144,857,666.57/11,606.38
  6. Step 6: Final answer
    x = 12,480.87

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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.