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Finding the Fourth Proportional to 3,030.34, 4,545.00 and 838.56

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Solution

The fourth proportional to 3,030.34, 4,545.00 and 838.56 is: 1,257.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,030.34 : 4,545.00 = 838.56 : x
  2. Step 2: Convert to fraction form
    3,030.34/4,545.00 = 838.56/x
  3. Step 3: Cross multiply
    3,030.34x = 4,545.00 × 838.56
  4. Step 4: Simplify right side
    3,030.34x = 3,811,228.28
  5. Step 5: Solve for x
    x = 3,811,228.28/3,030.34
  6. Step 6: Final answer
    x = 1,257.69

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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.