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Finding the Fourth Proportional to 26,530.52, 39,782.08 and 7,808.12

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Solution

The fourth proportional to 26,530.52, 39,782.08 and 7,808.12 is: 11,708.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,530.52 : 39,782.08 = 7,808.12 : x
  2. Step 2: Convert to fraction form
    26,530.52/39,782.08 = 7,808.12/x
  3. Step 3: Cross multiply
    26,530.52x = 39,782.08 × 7,808.12
  4. Step 4: Simplify right side
    26,530.52x = 310,623,294.46
  5. Step 5: Solve for x
    x = 310,623,294.46/26,530.52
  6. Step 6: Final answer
    x = 11,708.15

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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.