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Finding the Fourth Proportional to 23,420.58, 32,320 and 12,809.99

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Solution

The fourth proportional to 23,420.58, 32,320 and 12,809.99 is: 17,677.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,420.58 : 32,320 = 12,809.99 : x
  2. Step 2: Convert to fraction form
    23,420.58/32,320 = 12,809.99/x
  3. Step 3: Cross multiply
    23,420.58x = 32,320 × 12,809.99
  4. Step 4: Simplify right side
    23,420.58x = 414,018,876.80
  5. Step 5: Solve for x
    x = 414,018,876.80/23,420.58
  6. Step 6: Final answer
    x = 17,677.57

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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.