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Finding the Fourth Proportional to 10,154.68, 15,226.55 and 5,477.20

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Solution

The fourth proportional to 10,154.68, 15,226.55 and 5,477.20 is: 8,212.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,154.68 : 15,226.55 = 5,477.20 : x
  2. Step 2: Convert to fraction form
    10,154.68/15,226.55 = 5,477.20/x
  3. Step 3: Cross multiply
    10,154.68x = 15,226.55 × 5,477.20
  4. Step 4: Simplify right side
    10,154.68x = 83,398,756.14
  5. Step 5: Solve for x
    x = 83,398,756.14/10,154.68
  6. Step 6: Final answer
    x = 8,212.84

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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.