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Finding the Fourth Proportional to 7,779.90, 10,737.36 and 4,422

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Solution

The fourth proportional to 7,779.90, 10,737.36 and 4,422 is: 6,102.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,779.90 : 10,737.36 = 4,422 : x
  2. Step 2: Convert to fraction form
    7,779.90/10,737.36 = 4,422/x
  3. Step 3: Cross multiply
    7,779.90x = 10,737.36 × 4,422
  4. Step 4: Simplify right side
    7,779.90x = 47,480,605.92
  5. Step 5: Solve for x
    x = 47,480,605.92/7,779.90
  6. Step 6: Final answer
    x = 6,102.98

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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.