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Finding the Fourth Proportional to 26,531.80, 39,784 and 7,809.40

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Solution

The fourth proportional to 26,531.80, 39,784 and 7,809.40 is: 11,710.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,531.80 : 39,784 = 7,809.40 : x
  2. Step 2: Convert to fraction form
    26,531.80/39,784 = 7,809.40/x
  3. Step 3: Cross multiply
    26,531.80x = 39,784 × 7,809.40
  4. Step 4: Simplify right side
    26,531.80x = 310,689,169.60
  5. Step 5: Solve for x
    x = 310,689,169.60/26,531.80
  6. Step 6: Final answer
    x = 11,710.07

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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.