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Finding the Fourth Proportional to 26,549.88, 39,824.91 and 7,830.14

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Solution

The fourth proportional to 26,549.88, 39,824.91 and 7,830.14 is: 11,745.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,549.88 : 39,824.91 = 7,830.14 : x
  2. Step 2: Convert to fraction form
    26,549.88/39,824.91 = 7,830.14/x
  3. Step 3: Cross multiply
    26,549.88x = 39,824.91 × 7,830.14
  4. Step 4: Simplify right side
    26,549.88x = 311,834,421.66
  5. Step 5: Solve for x
    x = 311,834,421.66/26,549.88
  6. Step 6: Final answer
    x = 11,745.23

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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.