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Finding the Fourth Proportional to 7,646.02, 10,552 and 4,288.78

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Solution

The fourth proportional to 7,646.02, 10,552 and 4,288.78 is: 5,918.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,646.02 : 10,552 = 4,288.78 : x
  2. Step 2: Convert to fraction form
    7,646.02/10,552 = 4,288.78/x
  3. Step 3: Cross multiply
    7,646.02x = 10,552 × 4,288.78
  4. Step 4: Simplify right side
    7,646.02x = 45,255,206.56
  5. Step 5: Solve for x
    x = 45,255,206.56/7,646.02
  6. Step 6: Final answer
    x = 5,918.79

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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.