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Finding the Fourth Proportional to 11,293.70, 15,615.02 and 9,892.42

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Solution

The fourth proportional to 11,293.70, 15,615.02 and 9,892.42 is: 13,677.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,293.70 : 15,615.02 = 9,892.42 : x
  2. Step 2: Convert to fraction form
    11,293.70/15,615.02 = 9,892.42/x
  3. Step 3: Cross multiply
    11,293.70x = 15,615.02 × 9,892.42
  4. Step 4: Simplify right side
    11,293.70x = 154,470,336.15
  5. Step 5: Solve for x
    x = 154,470,336.15/11,293.70
  6. Step 6: Final answer
    x = 13,677.57

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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.