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Finding the Fourth Proportional to 7,351.68, 10,144.80 and 5,783.52

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Solution

The fourth proportional to 7,351.68, 10,144.80 and 5,783.52 is: 7,980.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,351.68 : 10,144.80 = 5,783.52 : x
  2. Step 2: Convert to fraction form
    7,351.68/10,144.80 = 5,783.52/x
  3. Step 3: Cross multiply
    7,351.68x = 10,144.80 × 5,783.52
  4. Step 4: Simplify right side
    7,351.68x = 58,672,653.70
  5. Step 5: Solve for x
    x = 58,672,653.70/7,351.68
  6. Step 6: Final answer
    x = 7,980.85

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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.