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Finding the Fourth Proportional to 3,506.48, 4,841.16 and 3,132.80

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Solution

The fourth proportional to 3,506.48, 4,841.16 and 3,132.80 is: 4,325.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.48 : 4,841.16 = 3,132.80 : x
  2. Step 2: Convert to fraction form
    3,506.48/4,841.16 = 3,132.80/x
  3. Step 3: Cross multiply
    3,506.48x = 4,841.16 × 3,132.80
  4. Step 4: Simplify right side
    3,506.48x = 15,166,386.05
  5. Step 5: Solve for x
    x = 15,166,386.05/3,506.48
  6. Step 6: Final answer
    x = 4,325.25

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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.