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Finding the Fourth Proportional to 9,758.58, 14,625.62 and 4,205.43

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Solution

The fourth proportional to 9,758.58, 14,625.62 and 4,205.43 is: 6,302.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.58 : 14,625.62 = 4,205.43 : x
  2. Step 2: Convert to fraction form
    9,758.58/14,625.62 = 4,205.43/x
  3. Step 3: Cross multiply
    9,758.58x = 14,625.62 × 4,205.43
  4. Step 4: Simplify right side
    9,758.58x = 61,506,926.96
  5. Step 5: Solve for x
    x = 61,506,926.96/9,758.58
  6. Step 6: Final answer
    x = 6,302.86

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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.