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Finding the Fourth Proportional to 27,358, 41,042.84 and 8,643.52

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Solution

The fourth proportional to 27,358, 41,042.84 and 8,643.52 is: 12,967.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,358 : 41,042.84 = 8,643.52 : x
  2. Step 2: Convert to fraction form
    27,358/41,042.84 = 8,643.52/x
  3. Step 3: Cross multiply
    27,358x = 41,042.84 × 8,643.52
  4. Step 4: Simplify right side
    27,358x = 354,754,608.40
  5. Step 5: Solve for x
    x = 354,754,608.40/27,358
  6. Step 6: Final answer
    x = 12,967.13

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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.