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Finding the Fourth Proportional to 7,810.62, 11,706 and 5,623.62

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Solution

The fourth proportional to 7,810.62, 11,706 and 5,623.62 is: 8,428.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,810.62 : 11,706 = 5,623.62 : x
  2. Step 2: Convert to fraction form
    7,810.62/11,706 = 5,623.62/x
  3. Step 3: Cross multiply
    7,810.62x = 11,706 × 5,623.62
  4. Step 4: Simplify right side
    7,810.62x = 65,830,095.72
  5. Step 5: Solve for x
    x = 65,830,095.72/7,810.62
  6. Step 6: Final answer
    x = 8,428.28

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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.