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Finding the Fourth Proportional to 2,545.52, 3,818.28 and 902.06

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Solution

The fourth proportional to 2,545.52, 3,818.28 and 902.06 is: 1,353.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,545.52 : 3,818.28 = 902.06 : x
  2. Step 2: Convert to fraction form
    2,545.52/3,818.28 = 902.06/x
  3. Step 3: Cross multiply
    2,545.52x = 3,818.28 × 902.06
  4. Step 4: Simplify right side
    2,545.52x = 3,444,317.66
  5. Step 5: Solve for x
    x = 3,444,317.66/2,545.52
  6. Step 6: Final answer
    x = 1,353.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.