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Finding the Fourth Proportional to 7,564.47, 10,438.17 and 4,206.74

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Solution

The fourth proportional to 7,564.47, 10,438.17 and 4,206.74 is: 5,804.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.47 : 10,438.17 = 4,206.74 : x
  2. Step 2: Convert to fraction form
    7,564.47/10,438.17 = 4,206.74/x
  3. Step 3: Cross multiply
    7,564.47x = 10,438.17 × 4,206.74
  4. Step 4: Simplify right side
    7,564.47x = 43,910,599.30
  5. Step 5: Solve for x
    x = 43,910,599.30/7,564.47
  6. Step 6: Final answer
    x = 5,804.85

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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.