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Finding the Fourth Proportional to 9,779.50, 14,671.95 and 2,854

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Solution

The fourth proportional to 9,779.50, 14,671.95 and 2,854 is: 4,281.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,779.50 : 14,671.95 = 2,854 : x
  2. Step 2: Convert to fraction form
    9,779.50/14,671.95 = 2,854/x
  3. Step 3: Cross multiply
    9,779.50x = 14,671.95 × 2,854
  4. Step 4: Simplify right side
    9,779.50x = 41,873,745.30
  5. Step 5: Solve for x
    x = 41,873,745.30/9,779.50
  6. Step 6: Final answer
    x = 4,281.79

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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.