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Finding the Fourth Proportional to 23,581, 32,541.80 and 13,645

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Solution

The fourth proportional to 23,581, 32,541.80 and 13,645 is: 18,830.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,581 : 32,541.80 = 13,645 : x
  2. Step 2: Convert to fraction form
    23,581/32,541.80 = 13,645/x
  3. Step 3: Cross multiply
    23,581x = 32,541.80 × 13,645
  4. Step 4: Simplify right side
    23,581x = 444,032,861
  5. Step 5: Solve for x
    x = 444,032,861/23,581
  6. Step 6: Final answer
    x = 18,830.11

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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.