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Finding the Fourth Proportional to 21,559.78, 32,339.67 and 5,977.41

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Solution

The fourth proportional to 21,559.78, 32,339.67 and 5,977.41 is: 8,966.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,559.78 : 32,339.67 = 5,977.41 : x
  2. Step 2: Convert to fraction form
    21,559.78/32,339.67 = 5,977.41/x
  3. Step 3: Cross multiply
    21,559.78x = 32,339.67 × 5,977.41
  4. Step 4: Simplify right side
    21,559.78x = 193,307,368.00
  5. Step 5: Solve for x
    x = 193,307,368.00/21,559.78
  6. Step 6: Final answer
    x = 8,966.11

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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.