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Finding the Fourth Proportional to 3,750.32, 5,624.80 and 1,152.68

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Solution

The fourth proportional to 3,750.32, 5,624.80 and 1,152.68 is: 1,728.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,750.32 : 5,624.80 = 1,152.68 : x
  2. Step 2: Convert to fraction form
    3,750.32/5,624.80 = 1,152.68/x
  3. Step 3: Cross multiply
    3,750.32x = 5,624.80 × 1,152.68
  4. Step 4: Simplify right side
    3,750.32x = 6,483,594.46
  5. Step 5: Solve for x
    x = 6,483,594.46/3,750.32
  6. Step 6: Final answer
    x = 1,728.81

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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.