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Finding the Fourth Proportional to 21,384.59, 32,078.19 and 8,237

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Solution

The fourth proportional to 21,384.59, 32,078.19 and 8,237 is: 12,356.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,384.59 : 32,078.19 = 8,237 : x
  2. Step 2: Convert to fraction form
    21,384.59/32,078.19 = 8,237/x
  3. Step 3: Cross multiply
    21,384.59x = 32,078.19 × 8,237
  4. Step 4: Simplify right side
    21,384.59x = 264,228,051.03
  5. Step 5: Solve for x
    x = 264,228,051.03/21,384.59
  6. Step 6: Final answer
    x = 12,356.00

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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.