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Finding the Fourth Proportional to 27,980.70, 41,978.71 and 8,259.25

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Solution

The fourth proportional to 27,980.70, 41,978.71 and 8,259.25 is: 12,391.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,980.70 : 41,978.71 = 8,259.25 : x
  2. Step 2: Convert to fraction form
    27,980.70/41,978.71 = 8,259.25/x
  3. Step 3: Cross multiply
    27,980.70x = 41,978.71 × 8,259.25
  4. Step 4: Simplify right side
    27,980.70x = 346,712,549.82
  5. Step 5: Solve for x
    x = 346,712,549.82/27,980.70
  6. Step 6: Final answer
    x = 12,391.13

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1.5x scale

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.