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Finding the Fourth Proportional to 7,810.44, 11,715.80 and 2,545.47

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Solution

The fourth proportional to 7,810.44, 11,715.80 and 2,545.47 is: 3,818.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,810.44 : 11,715.80 = 2,545.47 : x
  2. Step 2: Convert to fraction form
    7,810.44/11,715.80 = 2,545.47/x
  3. Step 3: Cross multiply
    7,810.44x = 11,715.80 × 2,545.47
  4. Step 4: Simplify right side
    7,810.44x = 29,822,204.70
  5. Step 5: Solve for x
    x = 29,822,204.70/7,810.44
  6. Step 6: Final answer
    x = 3,818.25

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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.