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Finding the Fourth Proportional to 2,428.81, 3,352.23 and 1,545.64

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Solution

The fourth proportional to 2,428.81, 3,352.23 and 1,545.64 is: 2,133.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428.81 : 3,352.23 = 1,545.64 : x
  2. Step 2: Convert to fraction form
    2,428.81/3,352.23 = 1,545.64/x
  3. Step 3: Cross multiply
    2,428.81x = 3,352.23 × 1,545.64
  4. Step 4: Simplify right side
    2,428.81x = 5,181,332.40
  5. Step 5: Solve for x
    x = 5,181,332.40/2,428.81
  6. Step 6: Final answer
    x = 2,133.28

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1.5x scale

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.