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Finding the Fourth Proportional to 27,980.16, 41,970.24 and 7,203.84

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Solution

The fourth proportional to 27,980.16, 41,970.24 and 7,203.84 is: 10,805.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,980.16 : 41,970.24 = 7,203.84 : x
  2. Step 2: Convert to fraction form
    27,980.16/41,970.24 = 7,203.84/x
  3. Step 3: Cross multiply
    27,980.16x = 41,970.24 × 7,203.84
  4. Step 4: Simplify right side
    27,980.16x = 302,346,893.72
  5. Step 5: Solve for x
    x = 302,346,893.72/27,980.16
  6. Step 6: Final answer
    x = 10,805.76

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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.