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Finding the Fourth Proportional to 3,052.32, 4,580.64 and 1,752

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Solution

The fourth proportional to 3,052.32, 4,580.64 and 1,752 is: 2,629.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,052.32 : 4,580.64 = 1,752 : x
  2. Step 2: Convert to fraction form
    3,052.32/4,580.64 = 1,752/x
  3. Step 3: Cross multiply
    3,052.32x = 4,580.64 × 1,752
  4. Step 4: Simplify right side
    3,052.32x = 8,025,281.28
  5. Step 5: Solve for x
    x = 8,025,281.28/3,052.32
  6. Step 6: Final answer
    x = 2,629.24

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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.