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Finding the Fourth Proportional to 2,428, 3,351.10 and 1,544.83

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Solution

The fourth proportional to 2,428, 3,351.10 and 1,544.83 is: 2,132.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428 : 3,351.10 = 1,544.83 : x
  2. Step 2: Convert to fraction form
    2,428/3,351.10 = 1,544.83/x
  3. Step 3: Cross multiply
    2,428x = 3,351.10 × 1,544.83
  4. Step 4: Simplify right side
    2,428x = 5,176,879.81
  5. Step 5: Solve for x
    x = 5,176,879.81/2,428
  6. Step 6: Final answer
    x = 2,132.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.