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Finding the Fourth Proportional to 9,775, 14,653.39 and 3,855.10

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Solution

The fourth proportional to 9,775, 14,653.39 and 3,855.10 is: 5,779.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775 : 14,653.39 = 3,855.10 : x
  2. Step 2: Convert to fraction form
    9,775/14,653.39 = 3,855.10/x
  3. Step 3: Cross multiply
    9,775x = 14,653.39 × 3,855.10
  4. Step 4: Simplify right side
    9,775x = 56,490,283.79
  5. Step 5: Solve for x
    x = 56,490,283.79/9,775
  6. Step 6: Final answer
    x = 5,779.06

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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.