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Finding the Fourth Proportional to 10,315.71, 15,473.57 and 3,657.11

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Solution

The fourth proportional to 10,315.71, 15,473.57 and 3,657.11 is: 5,485.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,315.71 : 15,473.57 = 3,657.11 : x
  2. Step 2: Convert to fraction form
    10,315.71/15,473.57 = 3,657.11/x
  3. Step 3: Cross multiply
    10,315.71x = 15,473.57 × 3,657.11
  4. Step 4: Simplify right side
    10,315.71x = 56,588,451.93
  5. Step 5: Solve for x
    x = 56,588,451.93/10,315.71
  6. Step 6: Final answer
    x = 5,485.66

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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.