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Finding the Fourth Proportional to 7,779.80, 11,662.70 and 5,281.84

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Solution

The fourth proportional to 7,779.80, 11,662.70 and 5,281.84 is: 7,918.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,779.80 : 11,662.70 = 5,281.84 : x
  2. Step 2: Convert to fraction form
    7,779.80/11,662.70 = 5,281.84/x
  3. Step 3: Cross multiply
    7,779.80x = 11,662.70 × 5,281.84
  4. Step 4: Simplify right side
    7,779.80x = 61,600,459.80
  5. Step 5: Solve for x
    x = 61,600,459.80/7,779.80
  6. Step 6: Final answer
    x = 7,918.00

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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.