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Finding the Fourth Proportional to 10,306.44, 14,222.99 and 5,590.82

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Solution

The fourth proportional to 10,306.44, 14,222.99 and 5,590.82 is: 7,715.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,306.44 : 14,222.99 = 5,590.82 : x
  2. Step 2: Convert to fraction form
    10,306.44/14,222.99 = 5,590.82/x
  3. Step 3: Cross multiply
    10,306.44x = 14,222.99 × 5,590.82
  4. Step 4: Simplify right side
    10,306.44x = 79,518,176.95
  5. Step 5: Solve for x
    x = 79,518,176.95/10,306.44
  6. Step 6: Final answer
    x = 7,715.39

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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.