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Finding the Fourth Proportional to 7,811.70, 10,779.94 and 4,788

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Solution

The fourth proportional to 7,811.70, 10,779.94 and 4,788 is: 6,607.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,811.70 : 10,779.94 = 4,788 : x
  2. Step 2: Convert to fraction form
    7,811.70/10,779.94 = 4,788/x
  3. Step 3: Cross multiply
    7,811.70x = 10,779.94 × 4,788
  4. Step 4: Simplify right side
    7,811.70x = 51,614,352.72
  5. Step 5: Solve for x
    x = 51,614,352.72/7,811.70
  6. Step 6: Final answer
    x = 6,607.31

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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.