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Finding the Fourth Proportional to 27,775.76, 41,664.20 and 12,980.70

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Solution

The fourth proportional to 27,775.76, 41,664.20 and 12,980.70 is: 19,471.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,775.76 : 41,664.20 = 12,980.70 : x
  2. Step 2: Convert to fraction form
    27,775.76/41,664.20 = 12,980.70/x
  3. Step 3: Cross multiply
    27,775.76x = 41,664.20 × 12,980.70
  4. Step 4: Simplify right side
    27,775.76x = 540,830,416.04
  5. Step 5: Solve for x
    x = 540,830,416.04/27,775.76
  6. Step 6: Final answer
    x = 19,471.31

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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.