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Finding the Fourth Proportional to 3,345.48, 4,616.52 and 1,928.16

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Solution

The fourth proportional to 3,345.48, 4,616.52 and 1,928.16 is: 2,660.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,345.48 : 4,616.52 = 1,928.16 : x
  2. Step 2: Convert to fraction form
    3,345.48/4,616.52 = 1,928.16/x
  3. Step 3: Cross multiply
    3,345.48x = 4,616.52 × 1,928.16
  4. Step 4: Simplify right side
    3,345.48x = 8,901,389.20
  5. Step 5: Solve for x
    x = 8,901,389.20/3,345.48
  6. Step 6: Final answer
    x = 2,660.72

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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.