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Finding the Fourth Proportional to 21,977.64, 32,978.30 and 14,585.58

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Solution

The fourth proportional to 21,977.64, 32,978.30 and 14,585.58 is: 21,886.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,977.64 : 32,978.30 = 14,585.58 : x
  2. Step 2: Convert to fraction form
    21,977.64/32,978.30 = 14,585.58/x
  3. Step 3: Cross multiply
    21,977.64x = 32,978.30 × 14,585.58
  4. Step 4: Simplify right side
    21,977.64x = 481,007,559.99
  5. Step 5: Solve for x
    x = 481,007,559.99/21,977.64
  6. Step 6: Final answer
    x = 21,886.22

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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.