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Finding the Fourth Proportional to 26,532.30, 39,784.74 and 7,809.90

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Solution

The fourth proportional to 26,532.30, 39,784.74 and 7,809.90 is: 11,710.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,532.30 : 39,784.74 = 7,809.90 : x
  2. Step 2: Convert to fraction form
    26,532.30/39,784.74 = 7,809.90/x
  3. Step 3: Cross multiply
    26,532.30x = 39,784.74 × 7,809.90
  4. Step 4: Simplify right side
    26,532.30x = 310,714,840.93
  5. Step 5: Solve for x
    x = 310,714,840.93/26,532.30
  6. Step 6: Final answer
    x = 11,710.81

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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.