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Finding the Fourth Proportional to 15,782.14, 21,779.50 and 8,708.50

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Solution

The fourth proportional to 15,782.14, 21,779.50 and 8,708.50 is: 12,017.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,782.14 : 21,779.50 = 8,708.50 : x
  2. Step 2: Convert to fraction form
    15,782.14/21,779.50 = 8,708.50/x
  3. Step 3: Cross multiply
    15,782.14x = 21,779.50 × 8,708.50
  4. Step 4: Simplify right side
    15,782.14x = 189,666,775.75
  5. Step 5: Solve for x
    x = 189,666,775.75/15,782.14
  6. Step 6: Final answer
    x = 12,017.81

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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.