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Finding the Fourth Proportional to 27,870, 41,805.60 and 13,070.76

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Solution

The fourth proportional to 27,870, 41,805.60 and 13,070.76 is: 19,606.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,870 : 41,805.60 = 13,070.76 : x
  2. Step 2: Convert to fraction form
    27,870/41,805.60 = 13,070.76/x
  3. Step 3: Cross multiply
    27,870x = 41,805.60 × 13,070.76
  4. Step 4: Simplify right side
    27,870x = 546,430,964.26
  5. Step 5: Solve for x
    x = 546,430,964.26/27,870
  6. Step 6: Final answer
    x = 19,606.42

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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.