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Finding the Fourth Proportional to 10,913.76, 15,051.76 and 9,220.60

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Solution

The fourth proportional to 10,913.76, 15,051.76 and 9,220.60 is: 12,716.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,913.76 : 15,051.76 = 9,220.60 : x
  2. Step 2: Convert to fraction form
    10,913.76/15,051.76 = 9,220.60/x
  3. Step 3: Cross multiply
    10,913.76x = 15,051.76 × 9,220.60
  4. Step 4: Simplify right side
    10,913.76x = 138,786,258.26
  5. Step 5: Solve for x
    x = 138,786,258.26/10,913.76
  6. Step 6: Final answer
    x = 12,716.63

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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.