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Finding the Fourth Proportional to 21,984.98, 32,977 and 5,345.10

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Solution

The fourth proportional to 21,984.98, 32,977 and 5,345.10 is: 8,017.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,984.98 : 32,977 = 5,345.10 : x
  2. Step 2: Convert to fraction form
    21,984.98/32,977 = 5,345.10/x
  3. Step 3: Cross multiply
    21,984.98x = 32,977 × 5,345.10
  4. Step 4: Simplify right side
    21,984.98x = 176,265,362.70
  5. Step 5: Solve for x
    x = 176,265,362.70/21,984.98
  6. Step 6: Final answer
    x = 8,017.54

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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.