Home / 11,415.42-15,748.83-7,164

Finding the Fourth Proportional to 11,415.42, 15,748.83 and 7,164

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Solution

The fourth proportional to 11,415.42, 15,748.83 and 7,164 is: 9,883.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,415.42 : 15,748.83 = 7,164 : x
  2. Step 2: Convert to fraction form
    11,415.42/15,748.83 = 7,164/x
  3. Step 3: Cross multiply
    11,415.42x = 15,748.83 × 7,164
  4. Step 4: Simplify right side
    11,415.42x = 112,824,618.12
  5. Step 5: Solve for x
    x = 112,824,618.12/11,415.42
  6. Step 6: Final answer
    x = 9,883.53

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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.