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Finding the Fourth Proportional to 10,926.96, 15,074.64 and 7,151.04

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Solution

The fourth proportional to 10,926.96, 15,074.64 and 7,151.04 is: 9,865.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,926.96 : 15,074.64 = 7,151.04 : x
  2. Step 2: Convert to fraction form
    10,926.96/15,074.64 = 7,151.04/x
  3. Step 3: Cross multiply
    10,926.96x = 15,074.64 × 7,151.04
  4. Step 4: Simplify right side
    10,926.96x = 107,799,353.63
  5. Step 5: Solve for x
    x = 107,799,353.63/10,926.96
  6. Step 6: Final answer
    x = 9,865.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.