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Finding the Fourth Proportional to 10,885.96, 15,034.84 and 7,343

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Solution

The fourth proportional to 10,885.96, 15,034.84 and 7,343 is: 10,141.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,885.96 : 15,034.84 = 7,343 : x
  2. Step 2: Convert to fraction form
    10,885.96/15,034.84 = 7,343/x
  3. Step 3: Cross multiply
    10,885.96x = 15,034.84 × 7,343
  4. Step 4: Simplify right side
    10,885.96x = 110,400,830.12
  5. Step 5: Solve for x
    x = 110,400,830.12/10,885.96
  6. Step 6: Final answer
    x = 10,141.58

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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.