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Finding the Fourth Proportional to 9,775.40, 14,663.13 and 2,379.86

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Solution

The fourth proportional to 9,775.40, 14,663.13 and 2,379.86 is: 3,569.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.40 : 14,663.13 = 2,379.86 : x
  2. Step 2: Convert to fraction form
    9,775.40/14,663.13 = 2,379.86/x
  3. Step 3: Cross multiply
    9,775.40x = 14,663.13 × 2,379.86
  4. Step 4: Simplify right side
    9,775.40x = 34,896,196.56
  5. Step 5: Solve for x
    x = 34,896,196.56/9,775.40
  6. Step 6: Final answer
    x = 3,569.80

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