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Finding the Fourth Proportional to 6,869.76, 9,477.12 and 4,074.24

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Solution

The fourth proportional to 6,869.76, 9,477.12 and 4,074.24 is: 5,620.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,869.76 : 9,477.12 = 4,074.24 : x
  2. Step 2: Convert to fraction form
    6,869.76/9,477.12 = 4,074.24/x
  3. Step 3: Cross multiply
    6,869.76x = 9,477.12 × 4,074.24
  4. Step 4: Simplify right side
    6,869.76x = 38,612,061.39
  5. Step 5: Solve for x
    x = 38,612,061.39/6,869.76
  6. Step 6: Final answer
    x = 5,620.58

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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.