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Finding the Fourth Proportional to 10,400.68, 15,592.38 and 7,271.74

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Solution

The fourth proportional to 10,400.68, 15,592.38 and 7,271.74 is: 10,901.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,400.68 : 15,592.38 = 7,271.74 : x
  2. Step 2: Convert to fraction form
    10,400.68/15,592.38 = 7,271.74/x
  3. Step 3: Cross multiply
    10,400.68x = 15,592.38 × 7,271.74
  4. Step 4: Simplify right side
    10,400.68x = 113,383,733.34
  5. Step 5: Solve for x
    x = 113,383,733.34/10,400.68
  6. Step 6: Final answer
    x = 10,901.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.