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Finding the Fourth Proportional to 23,411, 32,307.24 and 12,800.80

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Solution

The fourth proportional to 23,411, 32,307.24 and 12,800.80 is: 17,665.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,411 : 32,307.24 = 12,800.80 : x
  2. Step 2: Convert to fraction form
    23,411/32,307.24 = 12,800.80/x
  3. Step 3: Cross multiply
    23,411x = 32,307.24 × 12,800.80
  4. Step 4: Simplify right side
    23,411x = 413,558,517.79
  5. Step 5: Solve for x
    x = 413,558,517.79/23,411
  6. Step 6: Final answer
    x = 17,665.14

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1.5x scale

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.